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204197136 = 243111371419
BaseRepresentation
bin11000010101111…
…00110100010000
3112020020021210220
430022330310100
5404233302021
632132353040
75026434633
oct1412746420
9466207726
10204197136
11a529a370
1258475780
13333c6810
141d195c1a
1512dd7cc6
hexc2bcd10

204197136 has 160 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 56179200.

The previous prime is 204197113. The next prime is 204197137. The reversal of 204197136 is 631791402.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 204197097 and 204197106.

It is not an unprimeable number, because it can be changed into a prime (204197137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487135 + ... + 487553.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2204197136 is an apocalyptic number.

204197136 is a gapful number since it is divisible by the number (26) 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 204197136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

204197136 is an abundant number, since it is smaller than the sum of its proper divisors (425762544).

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

204197136 is a wasteful number, since it uses less digits than its factorization.

204197136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 204197136 is about 14289.7563310226. The cubic root of 204197136 is about 588.8660937394.

The spelling of 204197136 in words is "two hundred four million, one hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 71 78 88 104 132 142 143 156 176 208 213 264 284 286 312 419 426 429 528 568 572 624 781 838 852 858 923 1136 1144 1257 1562 1676 1704 1716 1846 2288 2343 2514 2769 3124 3352 3408 3432 3692 4609 4686 5028 5447 5538 6248 6704 6864 7384 9218 9372 10056 10153 10894 11076 12496 13827 14768 16341 18436 18744 20112 20306 21788 22152 27654 29749 30459 32682 36872 37488 40612 43576 44304 55308 59498 59917 60918 65364 73744 81224 87152 89247 110616 118996 119834 121836 130728 162448 178494 179751 221232 237992 239668 243672 261456 327239 356988 359502 386737 475984 479336 487344 654478 713976 719004 773474 958672 981717 1160211 1308956 1427952 1438008 1546948 1963434 2320422 2617912 2876016 3093896 3926868 4254107 4640844 5235824 6187792 7853736 8508214 9281688 12762321 15707472 17016428 18563376 25524642 34032856 51049284 68065712 102098568 204197136