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232104000 = 2635319509
BaseRepresentation
bin11011101010110…
…10000001000000
3121011202002211110
431311122001000
5433404312000
635010443320
75515565022
oct1565320100
9534662743
10232104000
1110a020197
1265893540
1339117b5b
1422b7c012
151559b850
hexdd5a040

232104000 has 224 divisors, whose sum is σ = 808329600. Its totient is φ = 58521600.

The previous prime is 232103999. The next prime is 232104029. The reversal of 232104000 is 401232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455746 + ... + 456254.

Almost surely, 2232104000 is an apocalyptic number.

232104000 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 232104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404164800).

232104000 is an abundant number, since it is smaller than the sum of its proper divisors (576225600).

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

232104000 is a wasteful number, since it uses less digits than its factorization.

232104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232104000 is about 15234.9597964681. The cubic root of 232104000 is about 614.5551677858. Note that the first 3 decimals are identical.

Adding to 232104000 its reverse (401232), we get a palindrome (232505232).

The spelling of 232104000 in words is "two hundred thirty-two million, one hundred four thousand".