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232023132000 = 25325311585917
BaseRepresentation
bin1101100000010110101…
…0000000011101100000
3211011220002110100020100
43120011222000131200
512300140410211000
6254331232542400
722522515036612
oct3300552003540
9734802410210
10232023132000
118a445011250
1238b740b1a00
1318b5889a4aa
14b3310c6db2
15607e9cea00
hex3605a80760

232023132000 has 288 divisors, whose sum is σ = 898310728224. Its totient is φ = 56247936000.

The previous prime is 232023131917. The next prime is 232023132031. The reversal of 232023132000 is 231320232.

It is a happy number.

232023132000 is a `hidden beast` number, since 2 + 320 + 23 + 1 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103042 + ... + 688958.

It is an arithmetic number, because the mean of its divisors is an integer number (3119134473).

Almost surely, 2232023132000 is an apocalyptic number.

232023132000 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 232023132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449155364112).

232023132000 is an abundant number, since it is smaller than the sum of its proper divisors (666287596224).

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

232023132000 is a wasteful number, since it uses less digits than its factorization.

232023132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585959 (or 585938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232023132000 its reverse (231320232), we get a palindrome (232254452232).

The spelling of 232023132000 in words is "two hundred thirty-two billion, twenty-three million, one hundred thirty-two thousand".