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204450100 = 225210491949
BaseRepresentation
bin11000010111110…
…10100100110100
3112020201010210221
430023322210310
5404314400400
632142024124
75031540301
oct1413724464
9466633727
10204450100
11a5452428
1258578044
13334849ba
141d2200a8
1512e37c1a
hexc2fa934

204450100 has 36 divisors (see below), whose sum is σ = 444307500. Its totient is φ = 81660160.

The previous prime is 204450091. The next prime is 204450107. The reversal of 204450100 is 1054402.

204450100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13512976 + 190937124 = 3676^2 + 13818^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204450107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103926 + ... + 105874.

It is an arithmetic number, because the mean of its divisors is an integer number (12341875).

Almost surely, 2204450100 is an apocalyptic number.

204450100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204450100 is an abundant number, since it is smaller than the sum of its proper divisors (239857400).

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

204450100 is a wasteful number, since it uses less digits than its factorization.

204450100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 204450100 is about 14298.6048270452. The cubic root of 204450100 is about 589.1091602442.

The spelling of 204450100 in words is "two hundred four million, four hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1049 1949 2098 3898 4196 5245 7796 9745 10490 19490 20980 26225 38980 48725 52450 97450 104900 194900 2044501 4089002 8178004 10222505 20445010 40890020 51112525 102225050 204450100