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226918968 = 23329794127
BaseRepresentation
bin11011000011010…
…00001000111000
3120210222200022020
431201220020320
5431042401333
634303354440
75423531223
oct1541501070
9523880266
10226918968
111070a9641
1263bb2a20
1338020aa3
14221cc5ba
1514dc53b3
hexd868238

226918968 has 64 divisors (see below), whose sum is σ = 594432000. Its totient is φ = 72089472.

The previous prime is 226918949. The next prime is 226919003. The reversal of 226918968 is 869819622.

It is a self number, because there is not a number n which added to its sum of digits gives 226918968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52921 + ... + 57047.

It is an arithmetic number, because the mean of its divisors is an integer number (9288000).

Almost surely, 2226918968 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 226918968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297216000).

226918968 is an abundant number, since it is smaller than the sum of its proper divisors (367513032).

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

226918968 is a wasteful number, since it uses less digits than its factorization.

226918968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4240 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 226918968 is about 15063.8297919221. The cubic root of 226918968 is about 609.9444256456.

The spelling of 226918968 in words is "two hundred twenty-six million, nine hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 232 237 316 348 474 632 696 948 1896 2291 4127 4582 6873 8254 9164 12381 13746 16508 18328 24762 27492 33016 49524 54984 99048 119683 239366 326033 359049 478732 652066 718098 957464 978099 1304132 1436196 1956198 2608264 2872392 3912396 7824792 9454957 18909914 28364871 37819828 56729742 75639656 113459484 226918968