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232112315140 = 22526961370381
BaseRepresentation
bin1101100000101011111…
…0001101101100000100
3211012010022021022111121
43120022332031230010
512300331223041030
6254344140243324
722524650061016
oct3301276155404
9735108238447
10232112315140
118a490394922
1238b99b40544
1318b711c4694
14b33cca01b6
15608774947a
hex360af8db04

232112315140 has 48 divisors (see below), whose sum is σ = 490052974320. Its totient is φ = 92347568640.

The previous prime is 232112315119. The next prime is 232112315143. The reversal of 232112315140 is 41513211232.

It can be written as a sum of positive squares in 8 ways, for example, as 118517701696 + 113594613444 = 344264^2 + 337038^2 .

It is a super-2 number, since 2×2321123151402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232112315143) 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, 3262750 + ... + 3333130.

It is an arithmetic number, because the mean of its divisors is an integer number (10209436965).

Almost surely, 2232112315140 is an apocalyptic number.

232112315140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232112315140 is an abundant number, since it is smaller than the sum of its proper divisors (257940659180).

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

232112315140 is a wasteful number, since it uses less digits than its factorization.

232112315140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71272 (or 71270 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 232112315140 its reverse (41513211232), we get a palindrome (273625526372).

The spelling of 232112315140 in words is "two hundred thirty-two billion, one hundred twelve million, three hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 269 538 613 1076 1226 1345 2452 2690 3065 5380 6130 12260 70381 140762 164897 281524 329794 351905 659588 703810 824485 1407620 1648970 3297940 18932489 37864978 43143553 75729956 86287106 94662445 172574212 189324890 215717765 378649780 431435530 862871060 11605615757 23211231514 46422463028 58028078785 116056157570 232112315140