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204381232 = 24116119037
BaseRepresentation
bin11000010111010…
…01110000110000
3112020120122100021
430023221300300
5404310144412
632140333224
75031132436
oct1413516060
9466518307
10204381232
11a5405710
1258544214
133345c553
141d202d56
1512e22607
hexc2e9c30

204381232 has 40 divisors (see below), whose sum is σ = 439092432. Its totient is φ = 91372800.

The previous prime is 204381217. The next prime is 204381263. The reversal of 204381232 is 232183402.

204381232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204381197 and 204381206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218 + ... + 20254.

Almost surely, 2204381232 is an apocalyptic number.

204381232 is a gapful number since it is divisible by the number (22) 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 204381232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219546216).

204381232 is an abundant number, since it is smaller than the sum of its proper divisors (234711200).

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

204381232 is a wasteful number, since it uses less digits than its factorization.

204381232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19117 (or 19111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 204381232 is about 14296.1964172293. The cubic root of 204381232 is about 589.0430066516.

The spelling of 204381232 in words is "two hundred four million, three hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 5368 10736 19037 38074 76148 152296 209407 304592 418814 837628 1161257 1675256 2322514 3350512 4645028 9290056 12773827 18580112 25547654 51095308 102190616 204381232