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232501045140 = 2233571316329027
BaseRepresentation
bin1101100010001000100…
…1000110011110010100
3211020010101201211211000
43120202021012132110
512302130231421030
6254450504143300
722540410163440
oct3304211063624
9736111654730
10232501045140
118a66a862491
1239088167b30
1318c038bb330
14b37876d820
1560ab933860
hex3622246794

232501045140 has 384 divisors, whose sum is σ = 895752990720. Its totient is φ = 48752534016.

The previous prime is 232501045129. The next prime is 232501045199. The reversal of 232501045140 is 41540105232.

232501045140 is a `hidden beast` number, since 23 + 25 + 0 + 104 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7995307 + ... + 8024333.

It is an arithmetic number, because the mean of its divisors is an integer number (2332690080).

Almost surely, 2232501045140 is an apocalyptic number.

232501045140 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 232501045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447876495360).

232501045140 is an abundant number, since it is smaller than the sum of its proper divisors (663251945580).

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

232501045140 is a wasteful number, since it uses less digits than its factorization.

232501045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29228 (or 29220 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 232501045140 in words is "two hundred thirty-two billion, five hundred one million, forty-five thousand, one hundred forty".