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208974472 = 23717317397
BaseRepresentation
bin11000111010010…
…11001010001000
3112120020000002021
430131023022020
5411444140342
632423014224
75115153010
oct1435131210
9476200067
10208974472
11a7a62683
1259b9a374
13343aa145
141da7ac40
151352d567
hexc74b288

208974472 has 128 divisors (see below), whose sum is σ = 501258240. Its totient is φ = 79626240.

The previous prime is 208974461. The next prime is 208974497. The reversal of 208974472 is 274479802.

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, 2154328 + ... + 2154424.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2208974472 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 208974472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250629120).

208974472 is an abundant number, since it is smaller than the sum of its proper divisors (292283768).

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

208974472 is a wasteful number, since it uses less digits than its factorization.

208974472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 208974472 is about 14455.9493634974. The cubic root of 208974472 is about 593.4230511415.

The spelling of 208974472 in words is "two hundred eight million, nine hundred seventy-four thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 73 97 119 124 136 146 194 217 238 248 292 388 434 476 511 527 584 679 776 868 952 1022 1054 1241 1358 1649 1736 2044 2108 2263 2482 2716 3007 3298 3689 4088 4216 4526 4964 5432 6014 6596 7081 7378 8687 9052 9928 11543 12028 13192 14162 14756 15841 17374 18104 21049 23086 24056 28324 29512 31682 34748 38471 42098 46172 49567 51119 56648 63364 69496 76942 84196 92344 99134 102238 120377 126728 153884 168392 198268 204476 219511 240754 269297 307768 357833 396536 408952 439022 481508 538594 715666 842639 878044 963016 1077188 1431332 1536577 1685278 1756088 2154376 2862664 3073154 3370556 3731687 6146308 6741112 7463374 12292616 14926748 26121809 29853496 52243618 104487236 208974472