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204329100 = 223521933529
BaseRepresentation
bin11000010110111…
…01000010001100
3112020110222211110
430023131002030
5404302012400
632135252020
75030524443
oct1413350214
9466428743
10204329100
11a537a528
125851a010
13334418c1
141d1cbd5a
1512e11e50
hexc2dd08c

204329100 has 72 divisors (see below), whose sum is σ = 594423760. Its totient is φ = 54190080.

The previous prime is 204329057. The next prime is 204329131. The reversal of 204329100 is 1923402.

It is a super-2 number, since 2×2043291002 = 83500762213620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56136 + ... + 59664.

Almost surely, 2204329100 is an apocalyptic number.

204329100 is a gapful number since it is divisible by the number (20) 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 204329100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297211880).

204329100 is an abundant number, since it is smaller than the sum of its proper divisors (390094660).

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

204329100 is a wasteful number, since it uses less digits than its factorization.

204329100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 204329100 is about 14294.3730187791. The cubic root of 204329100 is about 588.9929195325.

The spelling of 204329100 in words is "two hundred four million, three hundred twenty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 772 965 1158 1930 2316 2895 3529 3860 4825 5790 7058 9650 10587 11580 14116 14475 17645 19300 21174 28950 35290 42348 52935 57900 70580 88225 105870 176450 211740 264675 352900 529350 681097 1058700 1362194 2043291 2724388 3405485 4086582 6810970 8173164 10216455 13621940 17027425 20432910 34054850 40865820 51082275 68109700 102164550 204329100