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232230033000 = 233253716722073
BaseRepresentation
bin1101100001000111111…
…1010001011001101000
3211012102111210000001100
43120101333101121220
512301101342024000
6254403543321400
722530606465540
oct3302177213150
9735374700040
10232230033000
118a540888009
1239011450260
1318b8c6cc914
14b350784320
156092c4da00
hex3611fd1668

232230033000 has 384 divisors, whose sum is σ = 902484011520. Its totient is φ = 52760908800.

The previous prime is 232230032989. The next prime is 232230033031. The reversal of 232230033000 is 330032232.

232230033000 is a `hidden beast` number, since 2 + 32 + 2 + 300 + 330 + 0 + 0 = 666.

232230033000 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 (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10509964 + ... + 10532036.

It is an arithmetic number, because the mean of its divisors is an integer number (2350218780).

Almost surely, 2232230033000 is an apocalyptic number.

232230033000 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 232230033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451242005760).

232230033000 is an abundant number, since it is smaller than the sum of its proper divisors (670253978520).

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

232230033000 is a wasteful number, since it uses less digits than its factorization.

232230033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22274 (or 22257 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 232230033000 its reverse (330032232), we get a palindrome (232560065232).

The spelling of 232230033000 in words is "two hundred thirty-two billion, two hundred thirty million, thirty-three thousand".