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232243412340 = 22354997756961
BaseRepresentation
bin1101100001001011001…
…0010011110101110100
3211012110102221202001110
43120102302103311310
512301113303143330
6254405142155020
722531131301422
oct3302262236564
9735412852043
10232243412340
118a548396115
1239015a22a70
1318b924056a4
14b352468112
156093ee2db0
hex3612c93d74

232243412340 has 48 divisors (see below), whose sum is σ = 651584808000. Its totient is φ = 61807457280.

The previous prime is 232243412339. The next prime is 232243412377. The reversal of 232243412340 is 43214342232.

232243412340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232243412298 and 232243412307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3848541 + ... + 3908420.

It is an arithmetic number, because the mean of its divisors is an integer number (13574683500).

Almost surely, 2232243412340 is an apocalyptic number.

232243412340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232243412340 is an abundant number, since it is smaller than the sum of its proper divisors (419341395660).

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

232243412340 is a wasteful number, since it uses less digits than its factorization.

232243412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757472 (or 7757470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 232243412340 its reverse (43214342232), we get a palindrome (275457754572).

The spelling of 232243412340 in words is "two hundred thirty-two billion, two hundred forty-three million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 499 998 1497 1996 2495 2994 4990 5988 7485 9980 14970 29940 7756961 15513922 23270883 31027844 38784805 46541766 77569610 93083532 116354415 155139220 232708830 465417660 3870723539 7741447078 11612170617 15482894156 19353617695 23224341234 38707235390 46448682468 58060853085 77414470780 116121706170 232243412340