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232275208032 = 25327243382777
BaseRepresentation
bin1101100001010010101…
…1100110011101100000
3211012112122210010112200
43120110223212131200
512301144423124112
6254412235453200
722531665456300
oct3302453463540
9735478703480
10232275208032
118a56433274a
12390245b7200
1318b98b88aca
14b356783600
156096bc3cdc
hex3614ae6760

232275208032 has 216 divisors, whose sum is σ = 786245916456. Its totient is φ = 64820818944.

The previous prime is 232275207977. The next prime is 232275208037. The reversal of 232275208032 is 230802572232.

It is a happy number.

232275208032 is a `hidden beast` number, since 2 + 3 + 2 + 27 + 520 + 80 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232275208037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 415428 + ... + 798204.

It is an arithmetic number, because the mean of its divisors is an integer number (3640027391).

Almost surely, 2232275208032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232275208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393122958228).

232275208032 is an abundant number, since it is smaller than the sum of its proper divisors (553970708424).

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

232275208032 is a wasteful number, since it uses less digits than its factorization.

232275208032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382850 (or 382832 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 232275208032 in words is "two hundred thirty-two billion, two hundred seventy-five million, two hundred eight thousand, thirty-two".