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204219032836 = 22721341912
BaseRepresentation
bin1011111000110001100…
…1110010010100000100
3201112010101010202111211
42332030121302110010
511321220033022321
6233452242341204
720516511065200
oct2761431622404
9645111122454
10204219032836
1179677357aa5
12336b465a804
1316347430000
149c5456db00
1554a3a630e1
hex2f8c672504

204219032836 has 135 divisors (see below), whose sum is σ = 452745017907. Its totient is φ = 80366963040.

The previous prime is 204219032833. The next prime is 204219032837. The reversal of 204219032836 is 638230912402.

The square root of 204219032836 is 451906.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 101255058436 + 102963974400 = 318206^2 + 320880^2 .

It is not an unprimeable number, because it can be changed into a prime (204219032833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1069209501 + ... + 1069209691.

Almost surely, 2204219032836 is an apocalyptic number.

204219032836 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

204219032836 is the 451906-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204219032836

204219032836 is an abundant number, since it is smaller than the sum of its proper divisors (248525985071).

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

204219032836 is an frugal number, since it uses more digits than its factorization.

204219032836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 204219032836 in words is "two hundred four billion, two hundred nineteen million, thirty-two thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 191 196 338 364 382 637 676 764 1183 1274 1337 2197 2366 2483 2548 2674 4394 4732 4966 5348 8281 8788 9359 9932 15379 16562 17381 18718 28561 30758 32279 33124 34762 36481 37436 57122 61516 64558 69524 72962 107653 114244 121667 129116 145924 199927 215306 225953 243334 255367 399854 419627 430612 451906 474253 486668 510734 799708 839254 903812 948506 1021468 1399489 1581671 1678508 1787569 1897012 2798978 2937389 3163342 3319771 3575138 5455151 5597956 5874778 6165289 6326684 6639542 7150276 10910302 11749556 12330578 13279084 20561723 21820604 23238397 24661156 38186057 41123446 43157023 46476794 76372114 80148757 82246892 86314046 92953588 152744228 160297514 172628092 267302399 302099161 320595028 534604798 561041299 604198322 1041933841 1069209596 1122082598 1208396644 2083867682 2244165196 3927289093 4167735364 7293536887 7854578186 14587073774 15709156372 29174147548 51054758209 102109516418 204219032836