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223122230021440 = 2653726217189921
BaseRepresentation
bin110010101110110110110001…
…010000110000110101000000
31002021000021110211201021111101
4302232312301100300311000
5213221113311341141230
62110312534252424144
764666022600543251
oct6256666120606500
91067007424637441
10223122230021440
1165103674076302
12210366bb478054
13976644a2a0189
143d15260334b28
151abddc42bbaca
hexcaedb1430d40

223122230021440 has 112 divisors (see below), whose sum is σ = 545877802114704. Its totient is φ = 86803616563200.

The previous prime is 223122230021437. The next prime is 223122230021441. The reversal of 223122230021440 is 44120032221322.

It can be written as a sum of positive squares in 8 ways, for example, as 73528978609216 + 149593251412224 = 8574904^2 + 12230832^2 .

It is a super-3 number, since 3×2231222300214403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223122230021399 and 223122230021408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223122230021441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27437680 + ... + 34627600.

Almost surely, 2223122230021440 is an apocalyptic number.

223122230021440 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 223122230021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272938901057352).

223122230021440 is an abundant number, since it is smaller than the sum of its proper divisors (322755572093264).

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

223122230021440 is a wasteful number, since it uses less digits than its factorization.

223122230021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192596 (or 7192586 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 223122230021440 its reverse (44120032221322), we get a palindrome (267242262242762).

The spelling of 223122230021440 in words is "two hundred twenty-three trillion, one hundred twenty-two billion, two hundred thirty million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2621 2960 5242 5920 10484 11840 13105 20968 26210 41936 52420 83872 96977 104840 167744 193954 209680 387908 419360 484885 775816 838720 969770 1551632 1939540 3103264 3879080 6206528 7189921 7758160 14379842 15516320 28759684 31032640 35949605 57519368 71899210 115038736 143798420 230077472 266027077 287596840 460154944 532054154 575193680 1064108308 1150387360 1330135385 2128216616 2300774720 2660270770 4256433232 5320541540 8512866464 10641083080 17025732928 18844782941 21282166160 37689565882 42564332320 75379131764 85128664640 94223914705 150758263528 188447829410 301516527056 376895658820 603033054112 697256968817 753791317640 1206066108224 1394513937634 1507582635280 2789027875268 3015165270560 3486284844085 5578055750536 6030330541120 6972569688170 11156111501072 13945139376340 22312223002144 27890278752680 44624446004288 55780557505360 111561115010720 223122230021440