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226655104 = 27131967107
BaseRepresentation
bin11011000001001…
…11101110000000
3120210111021100111
431200213232000
5431010430404
634254001104
75421352024
oct1540475600
9523437314
10226655104
11106a39375
1263aa6194
1337c5a960
1422160384
1514d72104
hexd827b80

226655104 has 128 divisors (see below), whose sum is σ = 524361600. Its totient is φ = 96712704.

The previous prime is 226655071. The next prime is 226655111. The reversal of 226655104 is 401556622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 2118219 + ... + 2118325.

It is an arithmetic number, because the mean of its divisors is an integer number (4096575).

Almost surely, 2226655104 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 226655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262180800).

226655104 is an abundant number, since it is smaller than the sum of its proper divisors (297706496).

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

226655104 is a wasteful number, since it uses less digits than its factorization.

226655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 226655104 is about 15055.0690466700. The cubic root of 226655104 is about 609.7079171399.

The spelling of 226655104 in words is "two hundred twenty-six million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 67 76 104 107 128 134 152 208 214 247 268 304 416 428 494 536 608 832 856 871 988 1072 1216 1273 1391 1664 1712 1742 1976 2033 2144 2432 2546 2782 3424 3484 3952 4066 4288 5092 5564 6848 6968 7169 7904 8132 8576 10184 11128 13696 13936 14338 15808 16264 16549 20368 22256 26429 27872 28676 31616 32528 33098 40736 44512 52858 55744 57352 65056 66196 81472 89024 93197 105716 111488 114704 130112 132392 136211 162944 178048 186394 211432 229408 260224 264784 272422 372788 422864 458816 529568 544844 745576 845728 917632 1059136 1089688 1491152 1691456 1770743 2118272 2179376 2982304 3382912 3541486 4358752 5964608 7082972 8717504 11929216 14165944 17435008 28331888 56663776 113327552 226655104