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200958296 = 237111132887
BaseRepresentation
bin10111111101001…
…10000101011000
3112000010201221212
423332212011120
5402421131141
631535122252
74660055150
oct1376460530
9460121855
10200958296
11a3487a40
1257373388
1332831546
141c991760
15129982eb
hexbfa6158

200958296 has 64 divisors (see below), whose sum is σ = 474094080. Its totient is φ = 77575680.

The previous prime is 200958287. The next prime is 200958319. The reversal of 200958296 is 692859002.

200958296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68165 + ... + 71051.

It is an arithmetic number, because the mean of its divisors is an integer number (7407720).

Almost surely, 2200958296 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 200958296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237047040).

200958296 is an abundant number, since it is smaller than the sum of its proper divisors (273135784).

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

200958296 is a wasteful number, since it uses less digits than its factorization.

200958296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 200958296 is about 14175.9760157811. The cubic root of 200958296 is about 585.7360846480.

The spelling of 200958296 in words is "two hundred million, nine hundred fifty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 113 154 226 308 452 616 791 904 1243 1582 2486 2887 3164 4972 5774 6328 8701 9944 11548 17402 20209 23096 31757 34804 40418 63514 69608 80836 127028 161672 222299 254056 326231 444598 652462 889196 1304924 1778392 2283617 2609848 3588541 4567234 7177082 9134468 14354164 18268936 25119787 28708328 50239574 100479148 200958296