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200869956 = 22347312857
BaseRepresentation
bin10111111100100…
…00100001000100
3111222222020210000
423332100201010
5402410314311
631533201300
74656236460
oct1376204104
9458866700
10200869956
11a3427631
1257330230
1332800281
141c96b4a0
151297c056
hexbf90844

200869956 has 120 divisors (see below), whose sum is σ = 619705856. Its totient is φ = 55520640.

The previous prime is 200869927. The next prime is 200869967. The reversal of 200869956 is 659968002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68880 + ... + 71736.

Almost surely, 2200869956 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 200869956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309852928).

200869956 is an abundant number, since it is smaller than the sum of its proper divisors (418835900).

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

200869956 is a wasteful number, since it uses less digits than its factorization.

200869956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 200869956 is about 14172.8598384377. The cubic root of 200869956 is about 585.6502434383.

The spelling of 200869956 in words is "two hundred million, eight hundred sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 2857 3348 3906 5022 5714 5859 7812 8571 10044 11428 11718 17142 17577 19999 23436 25713 34284 35154 39998 51426 59997 70308 77139 79996 88567 102852 119994 154278 177134 179991 231417 239988 265701 308556 354268 359982 462834 531402 539973 619969 719964 797103 925668 1062804 1079946 1239938 1594206 1619919 1859907 2159892 2391309 2479876 3188412 3239838 3719814 4782618 5579721 6479676 7173927 7439628 9565236 11159442 14347854 16739163 22318884 28695708 33478326 50217489 66956652 100434978 200869956