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226666624 = 2789101197
BaseRepresentation
bin11011000001010…
…10100010000000
3120210111212011011
431200222202000
5431011312444
634254130304
75421430432
oct1540524200
9523455134
10226666624
11106a46a98
1263ab0994
1337c62c82
1422164652
1514d75734
hexd82a880

226666624 has 64 divisors (see below), whose sum is σ = 463498200. Its totient is φ = 110387200.

The previous prime is 226666579. The next prime is 226666669. The reversal of 226666624 is 426666622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226666579) and next prime (226666669).

It can be written as a sum of positive squares in 4 ways, for example, as 225961024 + 705600 = 15032^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150494 + ... + 1150690.

Almost surely, 2226666624 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 226666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231749100).

226666624 is an abundant number, since it is smaller than the sum of its proper divisors (236831576).

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

226666624 is a wasteful number, since it uses less digits than its factorization.

226666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 389 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The square root of 226666624 is about 15055.4516371977. The cubic root of 226666624 is about 609.7182466612.

The spelling of 226666624 in words is "two hundred twenty-six million, six hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 89 101 128 178 197 202 356 394 404 712 788 808 1424 1576 1616 2848 3152 3232 5696 6304 6464 8989 11392 12608 12928 17533 17978 19897 25216 35066 35956 39794 70132 71912 79588 140264 143824 159176 280528 287648 318352 561056 575296 636704 1122112 1150592 1273408 1770833 2244224 2546816 3541666 7083332 14166664 28333328 56666656 113333312 226666624