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223202130320 = 245133140916927
BaseRepresentation
bin1100111111011111100…
…0100011100110010000
3210100010100012000202102
43033313320203212100
512124104221132240
6250312044135532
722061104542551
oct3176770434620
9710110160672
10223202130320
1186728869114
1237311b375a8
1318081230180
14ab35788328
155c153ae815
hex33f7e23990

223202130320 has 160 divisors (see below), whose sum is σ = 578336317440. Its totient is φ = 79554908160.

The previous prime is 223202130299. The next prime is 223202130379. The reversal of 223202130320 is 23031202322.

It is a super-3 number, since 3×2232021303203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223202130292 and 223202130301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13177697 + ... + 13194623.

It is an arithmetic number, because the mean of its divisors is an integer number (3614601984).

Almost surely, 2223202130320 is an apocalyptic number.

223202130320 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 223202130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289168158720).

223202130320 is an abundant number, since it is smaller than the sum of its proper divisors (355134187120).

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

223202130320 is a wasteful number, since it uses less digits than its factorization.

223202130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17393 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 223202130320 its reverse (23031202322), we get a palindrome (246233332642).

The spelling of 223202130320 in words is "two hundred twenty-three billion, two hundred two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 409 496 520 620 806 818 1040 1240 1612 1636 2015 2045 2480 3224 3272 4030 4090 5317 6448 6544 8060 8180 10634 12679 16120 16360 16927 21268 25358 26585 32240 32720 33854 42536 50716 53170 63395 67708 84635 85072 101432 106340 126790 135416 164827 169270 202864 212680 220051 253580 270832 329654 338540 425360 440102 507160 524737 659308 677080 824135 880204 1014320 1049474 1100255 1318616 1354160 1648270 1760408 2098948 2200510 2623685 2637232 3296540 3520816 4197896 4401020 5247370 6593080 6821581 6923143 8395792 8802040 10494740 13186160 13643162 13846286 17604080 20989480 27286324 27692572 34107905 34615715 41978960 54572648 55385144 68215810 69231430 90000859 109145296 110770288 136431620 138462860 180001718 214617433 272863240 276925720 360003436 429234866 450004295 545726480 553851440 720006872 858469732 900008590 1073087165 1440013744 1716939464 1800017180 2146174330 2790026629 3433878928 3600034360 4292348660 5580053258 7200068720 8584697320 11160106516 13950133145 17169394640 22320213032 27900266290 44640426064 55800532580 111601065160 223202130320