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226553868 = 22332777573
BaseRepresentation
bin11011000000011…
…11000000001100
3120210022010111000
431200033000030
5430444210433
634251500300
75420450622
oct1540170014
9523263430
10226553868
1110697a302
1263a57690
1337c23858
1422135512
1514d52113
hexd80f00c

226553868 has 48 divisors (see below), whose sum is σ = 589560160. Its totient is φ = 75235392.

The previous prime is 226553839. The next prime is 226553881. The reversal of 226553868 is 868355622.

226553868 is a `hidden beast` number, since 2 + 265 + 5 + 386 + 8 = 666.

It is a super-2 number, since 2×2265538682 = 102653310211522848, which contains 22 as substring.

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, 26130 + ... + 33702.

Almost surely, 2226553868 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 226553868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294780080).

226553868 is an abundant number, since it is smaller than the sum of its proper divisors (363006292).

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

226553868 is a wasteful number, since it uses less digits than its factorization.

226553868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7855 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 226553868 is about 15051.7064813263. The cubic root of 226553868 is about 609.6171278280.

The spelling of 226553868 in words is "two hundred twenty-six million, five hundred fifty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 277 554 831 1108 1662 2493 3324 4986 7479 7573 9972 14958 15146 22719 29916 30292 45438 68157 90876 136314 204471 272628 408942 817884 2097721 4195442 6293163 8390884 12586326 18879489 25172652 37758978 56638467 75517956 113276934 226553868