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204351252 = 223753197233
BaseRepresentation
bin11000010111000…
…10011100010100
3112020112010012220
430023202130110
5404303220002
632135542340
75030646150
oct1413423424
9466463186
10204351252
11a5395136
125852a9b0
133344ba01
141d1d6060
1512e187bc
hexc2e2714

204351252 has 96 divisors (see below), whose sum is σ = 560431872. Its totient is φ = 56749056.

The previous prime is 204351247. The next prime is 204351269. The reversal of 204351252 is 252153402.

204351252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876928 + ... + 877160.

It is an arithmetic number, because the mean of its divisors is an integer number (5837832).

Almost surely, 2204351252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204351252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936).

204351252 is an abundant number, since it is smaller than the sum of its proper divisors (356080620).

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

204351252 is a wasteful number, since it uses less digits than its factorization.

204351252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 204351252 is about 14295.1478481336. The cubic root of 204351252 is about 589.0142036597.

The spelling of 204351252 in words is "two hundred four million, three hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 197 212 233 318 371 394 466 591 636 699 742 788 932 1113 1182 1379 1398 1484 1631 2226 2364 2758 2796 3262 4137 4452 4893 5516 6524 8274 9786 10441 12349 16548 19572 20882 24698 31323 37047 41764 45901 49396 62646 73087 74094 86443 91802 125292 137703 146174 148188 172886 183604 219261 259329 275406 292348 321307 345772 438522 518658 550812 642614 877044 963921 1037316 1285228 1927842 2432753 3855684 4865506 7298259 9731012 14596518 17029271 29193036 34058542 51087813 68117084 102175626 204351252