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204352100 = 22525338557
BaseRepresentation
bin11000010111000…
…10101001100100
3112020112011101022
430023202221210
5404303231400
632135550312
75030651501
oct1413425144
9466464338
10204352100
11a5395837
125852b398
133344c204
141d1d64a8
1512e18b85
hexc2e2a64

204352100 has 36 divisors (see below), whose sum is σ = 451822644. Its totient is φ = 80196480.

The previous prime is 204352081. The next prime is 204352111. The reversal of 204352100 is 1253402.

It can be written as a sum of positive squares in 6 ways, for example, as 2768896 + 201583204 = 1664^2 + 14198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13979 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (12550629).

Almost surely, 2204352100 is an apocalyptic number.

204352100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204352100 is an abundant number, since it is smaller than the sum of its proper divisors (247470544).

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

204352100 is a wasteful number, since it uses less digits than its factorization.

204352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38624 (or 38617 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 204352100 is about 14295.1775085166. The cubic root of 204352100 is about 589.0150184062.

The spelling of 204352100 in words is "two hundred four million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 38557 77114 154228 192785 385570 771140 963925 1927850 2043521 3855700 4087042 8174084 10217605 20435210 40870420 51088025 102176050 204352100