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200196256 = 25132691789
BaseRepresentation
bin10111110111011…
…00000010100000
3111221201000122011
423323230002200
5402222240011
631510522304
74650432361
oct1373540240
9457630564
10200196256
11a3007457
1257066394
1332625730
141c833b68
1512897621
hexbeec0a0

200196256 has 48 divisors (see below), whose sum is σ = 426270600. Its totient is φ = 92003328.

The previous prime is 200196239. The next prime is 200196277. The reversal of 200196256 is 652691002.

It can be written as a sum of positive squares in 4 ways, for example, as 140659600 + 59536656 = 11860^2 + 7716^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111010 + ... + 112798.

Almost surely, 2200196256 is an apocalyptic number.

200196256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200196256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213135300).

200196256 is an abundant number, since it is smaller than the sum of its proper divisors (226074344).

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

200196256 is a wasteful number, since it uses less digits than its factorization.

200196256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 200196256 is about 14149.0726197868. The cubic root of 200196256 is about 584.9947704502.

The spelling of 200196256 in words is "two hundred million, one hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 269 416 538 1076 1789 2152 3497 3578 4304 6994 7156 8608 13988 14312 23257 27976 28624 46514 55952 57248 93028 111904 186056 372112 481241 744224 962482 1924964 3849928 6256133 7699856 12512266 15399712 25024532 50049064 100098128 200196256