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204002100 = 223252226669
BaseRepresentation
bin11000010100011…
…01001100110100
3112012212101021100
430022031030310
5404211031400
632124250100
75024663211
oct1412151464
9465771240
10204002100
11a5176885
12583a0930
1333358b03
141d144b08
1512d9a100
hexc28d334

204002100 has 54 divisors (see below), whose sum is σ = 639436070. Its totient is φ = 54400320.

The previous prime is 204002087. The next prime is 204002143. The reversal of 204002100 is 1200402.

It can be written as a sum of positive squares in 3 ways, for example, as 30869136 + 173132964 = 5556^2 + 13158^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112435 + ... + 114234.

Almost surely, 2204002100 is an apocalyptic number.

204002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204002100 is an abundant number, since it is smaller than the sum of its proper divisors (435433970).

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

204002100 is a wasteful number, since it uses less digits than its factorization.

204002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226689 (or 226679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 204002100 is about 14282.9303716009. The cubic root of 204002100 is about 588.6785516499.

Adding to 204002100 its reverse (1200402), we get a palindrome (205202502).

It can be divided in two parts, 20400 and 2100, that added together give a square (22500 = 1502).

The spelling of 204002100 in words is "two hundred four million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 226669 453338 680007 906676 1133345 1360014 2040021 2266690 2720028 3400035 4080042 4533380 5666725 6800070 8160084 10200105 11333450 13600140 17000175 20400210 22666900 34000350 40800420 51000525 68000700 102001050 204002100