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226266880 = 285725253
BaseRepresentation
bin11010111110010…
…00111100000000
3120202202112210211
431133020330000
5430411020010
634241403504
75415144130
oct1537107400
9522675724
10226266880
111067a3724
1263939594
1337b53038
142209cac0
1514ce708a
hexd7c8f00

226266880 has 72 divisors (see below), whose sum is σ = 619430112. Its totient is φ = 77574144.

The previous prime is 226266869. The next prime is 226266917. The reversal of 226266880 is 88662622.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 3667 + ... + 21586.

It is an arithmetic number, because the mean of its divisors is an integer number (8603196).

Almost surely, 2226266880 is an apocalyptic number.

226266880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226266880 is an abundant number, since it is smaller than the sum of its proper divisors (393163232).

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

226266880 is an equidigital number, since it uses as much as digits as its factorization.

226266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281 (or 25267 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 226266880 is about 15042.1700562120. The cubic root of 226266880 is about 609.3596074306.

The spelling of 226266880 in words is "two hundred twenty-six million, two hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 25253 50506 101012 126265 176771 202024 252530 353542 404048 505060 707084 808096 883855 1010120 1414168 1616192 1767710 2020240 2828336 3232384 3535420 4040480 5656672 6464768 7070840 8080960 11313344 14141680 16161920 22626688 28283360 32323840 45253376 56566720 113133440 226266880