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92228256 = 2532320237
BaseRepresentation
bin1010111111101…
…00101010100000
320102112200101100
411133310222200
5142102301011
613052434400
72166633021
oct537645240
9212480340
1092228256
11480734aa
1226a78a00
1316152243
14c36ac48
15816bd56
hex57f4aa0

92228256 has 36 divisors (see below), whose sum is σ = 262274922. Its totient is φ = 30742656.

The previous prime is 92228243. The next prime is 92228327. The reversal of 92228256 is 65282229.

It can be written as a sum of positive squares in only one way, i.e., 71978256 + 20250000 = 8484^2 + 4500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92228256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159831 + ... + 160406.

Almost surely, 292228256 is an apocalyptic number.

92228256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

92228256 is an abundant number, since it is smaller than the sum of its proper divisors (170046666).

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

92228256 is a wasteful number, since it uses less digits than its factorization.

92228256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320253 (or 320242 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 92228256 is about 9603.5543420132. The cubic root of 92228256 is about 451.8087791139.

The spelling of 92228256 in words is "ninety-two million, two hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 320237 640474 960711 1280948 1921422 2561896 2882133 3842844 5123792 5764266 7685688 10247584 11528532 15371376 23057064 30742752 46114128 92228256