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232027246080 = 29325721929373
BaseRepresentation
bin1101100000010111100…
…1101100111000000000
3211011220101012100200200
43120011321230320000
512300142433333310
6254331501045200
722522565023200
oct3300571547000
9734811170620
10232027246080
118a447371213
1238b75556800
1318b596aac66
14b331878400
1560800439c0
hex3605e6ce00

232027246080 has 1440 divisors, whose sum is σ = 1020629095200. Its totient is φ = 48380903424.

The previous prime is 232027245997. The next prime is 232027246117. The reversal of 232027246080 is 80642720232.

It is a happy number.

232027246080 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 27 + 24 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 622056774 + ... + 622057146.

It is an arithmetic number, because the mean of its divisors is an integer number (708770205).

Almost surely, 2232027246080 is an apocalyptic number.

232027246080 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 232027246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510314547600).

232027246080 is an abundant number, since it is smaller than the sum of its proper divisors (788601849120).

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

232027246080 is a wasteful number, since it uses less digits than its factorization.

232027246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

It can be divided in two parts, 2320 and 27246080, that added together give a square (27248400 = 52202).

The spelling of 232027246080 in words is "two hundred thirty-two billion, twenty-seven million, two hundred forty-six thousand, eighty".