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223020433012240 = 245171964709133379
BaseRepresentation
bin110010101101010111111101…
…101011111111011000010000
31002020122112201102200102001101
4302231113331223333120100
5213212431321322342430
62110154101133314144
764655460143335003
oct6255277553773020
91066575642612041
10223020433012240
1165074486339636
122101aa2b935954
1397599763a9aa6
143d1036477953a
151abb417419dca
hexcad5fdaff610

223020433012240 has 160 divisors (see below), whose sum is σ = 577933085808000. Its totient is φ = 79539827318784.

The previous prime is 223020433012219. The next prime is 223020433012243. The reversal of 223020433012240 is 42210334020322.

It is a super-2 number, since 2×2230204330122402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223020433012199 and 223020433012208.

It is not an unprimeable number, because it can be changed into a prime (223020433012243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672013871 + ... + 1672147249.

It is an arithmetic number, because the mean of its divisors is an integer number (3612081786300).

Almost surely, 2223020433012240 is an apocalyptic number.

223020433012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223020433012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288966542904000).

223020433012240 is an abundant number, since it is smaller than the sum of its proper divisors (354912652795760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223020433012240 is a wasteful number, since it uses less digits than its factorization.

223020433012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198137 (or 198131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 223020433012240 its reverse (42210334020322), we get a palindrome (265230767032562).

The spelling of 223020433012240 in words is "two hundred twenty-three trillion, twenty billion, four hundred thirty-three million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 25840 64709 129418 133379 258836 266758 323545 517672 533516 647090 666895 1035344 1067032 1100053 1229471 1294180 1333790 2134064 2200106 2267443 2458942 2534201 2588360 2667580 4400212 4534886 4917884 5068402 5176720 5335160 5500265 6147355 8800424 9069772 9835768 10136804 10670320 11000530 11337215 12294710 12671005 17600848 18139544 19671536 20273608 20901007 22001060 22674430 24589420 25342010 36279088 40547216 41802014 43081417 44002120 45348860 49178840 50684020 83604028 86162834 88004240 90697720 98357680 101368040 104505035 167208056 172325668 181395440 202736080 209010070 215407085 334416112 344651336 418020140 430814170 689302672 836040280 861628340 1672080560 1723256680 3446513360 8630821711 17261643422 34523286844 43154108555 69046573688 86308217110 138093147376 146723969087 163985612509 172616434220 293447938174 327971225018 345232868440 586895876348 655942450036 690465736880 733619845435 819928062545 1173791752696 1311884900072 1467239690870 1639856125090 2347583505392 2623769800144 2787755412653 2934479381740 3279712250180 5575510825306 5868958763480 6559424500360 11151021650612 11737917526960 13118849000720 13938777063265 22302043301224 27877554126530 44604086602448 55755108253060 111510216506120 223020433012240