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226056920 = 2357971537
BaseRepresentation
bin11010111100101…
…01101011011000
3120202100212210112
431132111223120
5430332310140
634233103452
75413311035
oct1536255330
9522325715
10226056920
1110666aa01
1263857b88
1337aab5bb
142204638c
1514ca4c65
hexd795ad8

226056920 has 32 divisors (see below), whose sum is σ = 515073600. Its totient is φ = 89276928.

The previous prime is 226056899. The next prime is 226056923. The reversal of 226056920 is 29650622.

It is a happy number.

It is a super-2 number, since 2×2260569202 = 102203462159772800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226056923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32609 + ... + 38928.

It is an arithmetic number, because the mean of its divisors is an integer number (16096050).

Almost surely, 2226056920 is an apocalyptic number.

226056920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226056920 is an abundant number, since it is smaller than the sum of its proper divisors (289016680).

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

226056920 is a wasteful number, since it uses less digits than its factorization.

226056920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71627 (or 71623 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 226056920 is about 15035.1893902272. The cubic root of 226056920 is about 609.1710679250.

The spelling of 226056920 in words is "two hundred twenty-six million, fifty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 71537 143074 286148 357685 572296 715370 1430740 2861480 5651423 11302846 22605692 28257115 45211384 56514230 113028460 226056920