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226826432 = 2674153233
BaseRepresentation
bin11011000010100…
…01100011000000
3120210210222100222
431201101203000
5431031421212
634301402212
75422664360
oct1541214300
9523728328
10226826432
11107046068
1263b69368
1337cba931
14221a69a0
1514da7c72
hexd8518c0

226826432 has 112 divisors (see below), whose sum is σ = 539203392. Its totient is φ = 92651520.

The previous prime is 226826407. The next prime is 226826491. The reversal of 226826432 is 234628622.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 226826392 and 226826401.

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, 973388 + ... + 973620.

It is an arithmetic number, because the mean of its divisors is an integer number (4814316).

Almost surely, 2226826432 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 226826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601696).

226826432 is an abundant number, since it is smaller than the sum of its proper divisors (312376960).

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

226826432 is a wasteful number, since it uses less digits than its factorization.

226826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 226826432 is about 15060.7580154519. The cubic root of 226826432 is about 609.8615039874.

The spelling of 226826432 in words is "two hundred twenty-six million, eight hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 53 56 64 82 106 112 164 212 224 233 287 328 371 424 448 466 574 656 742 848 932 1148 1312 1484 1631 1696 1864 2173 2296 2624 2968 3262 3392 3728 4346 4592 5936 6524 7456 8692 9184 9553 11872 12349 13048 14912 15211 17384 18368 19106 23744 24698 26096 30422 34768 38212 49396 52192 60844 66871 69536 76424 86443 98792 104384 121688 133742 139072 152848 172886 197584 243376 267484 305696 345772 395168 486752 506309 534968 611392 691544 790336 973504 1012618 1069936 1383088 2025236 2139872 2766176 3544163 4050472 4279744 5532352 7088326 8100944 14176652 16201888 28353304 32403776 56706608 113413216 226826432