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226585968 = 2437674363
BaseRepresentation
bin11011000000101…
…10110101110000
3120210100202111220
431200112311300
5431001222333
634252305040
75420643330
oct1540266560
9523322456
10226585968
111069a1434
1263a72180
1337c3534b
14221430c0
1514d5b8b3
hexd816d70

226585968 has 40 divisors (see below), whose sum is σ = 668969088. Its totient is φ = 64738752.

The previous prime is 226585951. The next prime is 226585969. The reversal of 226585968 is 869585622.

226585968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226585968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226585969) by changing a digit.

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, 336846 + ... + 337517.

Almost surely, 2226585968 is an apocalyptic number.

226585968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226585968 is an abundant number, since it is smaller than the sum of its proper divisors (442383120).

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

226585968 is a wasteful number, since it uses less digits than its factorization.

226585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674381 (or 674375 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 226585968 is about 15052.7727678325. The cubic root of 226585968 is about 609.6459183107.

The spelling of 226585968 in words is "two hundred twenty-six million, five hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 674363 1348726 2023089 2697452 4046178 4720541 5394904 8092356 9441082 10789808 14161623 16184712 18882164 28323246 32369424 37764328 56646492 75528656 113292984 226585968