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232131223220 = 225134323838713
BaseRepresentation
bin1101100000110000011…
…0010101111010110100
3211012011121211221111212
43120030012111322310
512300401043120340
6254350053420552
722525266561431
oct3301406257264
9735147757455
10232131223220
118a4a0029836
1238ba433a758
1318b750b4ab0
14b3415c2b88
156089231a65
hex360c195eb4

232131223220 has 96 divisors (see below), whose sum is σ = 537469481472. Its totient is φ = 83671999488.

The previous prime is 232131223193. The next prime is 232131223223. The reversal of 232131223220 is 22322131232.

It is a super-2 number, since 2×2321312232202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232131223223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26637584 + ... + 26646296.

It is an arithmetic number, because the mean of its divisors is an integer number (5598640432).

Almost surely, 2232131223220 is an apocalyptic number.

232131223220 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 232131223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268734740736).

232131223220 is an abundant number, since it is smaller than the sum of its proper divisors (305338258252).

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

232131223220 is a wasteful number, since it uses less digits than its factorization.

232131223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 232131223220 its reverse (22322131232), we get a palindrome (254453354452).

The spelling of 232131223220 in words is "two hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2383 2795 4766 5590 8713 9532 11180 11915 17426 23830 30979 34852 43565 47660 61958 87130 102469 113269 123916 154895 174260 204938 226538 309790 374659 409876 453076 512345 566345 619580 749318 1024690 1132690 1332097 1498636 1873295 2049380 2265380 2664194 3746590 4870567 5328388 6660485 7493180 9741134 13320970 19482268 20763079 24352835 26641940 41526158 48705670 83052316 97411340 103815395 207630790 269920027 415261580 539840054 892812397 1079680108 1349600135 1785624794 2699200270 3571249588 4464061985 5398400540 8928123970 11606561161 17856247940 23213122322 46426244644 58032805805 116065611610 232131223220