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204430912 = 267487937
BaseRepresentation
bin11000010111101…
…01111001000000
3112020200011111021
430023311321000
5404313242122
632141355224
75031430330
oct1413657100
9466604437
10204430912
11a5439a74
1258568b14
133347904a
141d2170c0
1512e321c7
hexc2f5e40

204430912 has 56 divisors (see below), whose sum is σ = 465067904. Its totient is φ = 87340032.

The previous prime is 204430873. The next prime is 204430943. The reversal of 204430912 is 219034402.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217708 + ... + 218644.

It is an arithmetic number, because the mean of its divisors is an integer number (8304784).

Almost surely, 2204430912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232533952).

204430912 is an abundant number, since it is smaller than the sum of its proper divisors (260636992).

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

204430912 is an equidigital number, since it uses as much as digits as its factorization.

204430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 204430912 is about 14297.9338367472. The cubic root of 204430912 is about 589.0907300254.

The spelling of 204430912 in words is "two hundred four million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 487 937 974 1874 1948 3409 3748 3896 6559 6818 7496 7792 13118 13636 14992 15584 26236 27272 29984 31168 52472 54544 59968 104944 109088 209888 218176 419776 456319 912638 1825276 3194233 3650552 6388466 7301104 12776932 14602208 25553864 29204416 51107728 102215456 204430912