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204312700 = 225219191563
BaseRepresentation
bin11000010110110…
…01000001111100
3112020110011100001
430023121001330
5404301001300
632135044044
75030425564
oct1413310174
9466404301
10204312700
11a5369179
1258510624
13334372b7
141d1c5da4
1512e0c16a
hexc2d907c

204312700 has 72 divisors (see below), whose sum is σ = 469969920. Its totient is φ = 76881600.

The previous prime is 204312697. The next prime is 204312727. The reversal of 204312700 is 7213402.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 362619 + ... + 363181.

It is an arithmetic number, because the mean of its divisors is an integer number (6527360).

Almost surely, 2204312700 is an apocalyptic number.

204312700 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 204312700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234984960).

204312700 is an abundant number, since it is smaller than the sum of its proper divisors (265657220).

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

204312700 is a wasteful number, since it uses less digits than its factorization.

204312700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 204312700 is about 14293.7993549651. The cubic root of 204312700 is about 588.9771610619.

The spelling of 204312700 in words is "two hundred four million, three hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 191 380 382 475 563 764 950 955 1126 1900 1910 2252 2815 3629 3820 4775 5630 7258 9550 10697 11260 14075 14516 18145 19100 21394 28150 36290 42788 53485 56300 72580 90725 106970 107533 181450 213940 215066 267425 362900 430132 534850 537665 1069700 1075330 2043127 2150660 2688325 4086254 5376650 8172508 10215635 10753300 20431270 40862540 51078175 102156350 204312700