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232557620940 = 223453110344959
BaseRepresentation
bin1101100010010110000…
…0111010111011001100
3211020021100012012020000
43120211200322323030
512302234222332230
6254500244524300
722541665106451
oct3304540727314
9736240165200
10232557620940
118a699794747
12390a30b0690
1318c12539838
14b382099828
1560b18abb60
hex362583aecc

232557620940 has 240 divisors, whose sum is σ = 760403804160. Its totient is φ = 59430879360.

The previous prime is 232557620923. The next prime is 232557620947. The reversal of 232557620940 is 49026755232.

232557620940 is a `hidden beast` number, since 2 + 3 + 2 + 557 + 6 + 2 + 0 + 94 + 0 = 666.

232557620940 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 (45).

It is not an unprimeable number, because it can be changed into a prime (232557620947) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5150181 + ... + 5195139.

It is an arithmetic number, because the mean of its divisors is an integer number (3168349184).

Almost surely, 2232557620940 is an apocalyptic number.

232557620940 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 232557620940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380201902080).

232557620940 is an abundant number, since it is smaller than the sum of its proper divisors (527846183220).

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

232557620940 is a wasteful number, since it uses less digits than its factorization.

232557620940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45114 (or 45103 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 232557620940 in words is "two hundred thirty-two billion, five hundred fifty-seven million, six hundred twenty thousand, nine hundred forty".