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104264226 = 23311191919
BaseRepresentation
bin1100011011011…
…11001000100010
321021012011122000
412031233020202
5203142423401
614202424430
72404142223
oct615571042
9237164560
10104264226
1153944290
122ab02116
13187a7711
14dbc124a
159248186
hex636f222

104264226 has 64 divisors (see below), whose sum is σ = 254361600. Its totient is φ = 31395600.

The previous prime is 104264201. The next prime is 104264227. The reversal of 104264226 is 622462401.

104264226 is a `hidden beast` number, since 10 + 4 + 2 + 642 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104264226.

It is not an unprimeable number, because it can be changed into a prime (104264227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112995 + ... + 113913.

It is an arithmetic number, because the mean of its divisors is an integer number (3974400).

Almost surely, 2104264226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104264226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127180800).

104264226 is an abundant number, since it is smaller than the sum of its proper divisors (150097374).

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

104264226 is a wasteful number, since it uses less digits than its factorization.

104264226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104264226 is about 10210.9855547836. The cubic root of 104264226 is about 470.6648595627.

The spelling of 104264226 in words is "one hundred four million, two hundred sixty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 919 1146 1719 1838 2101 2757 3438 4202 5157 5514 6303 8271 10109 10314 12606 16542 18909 20218 24813 30327 37818 49626 56727 60654 90981 113454 175529 181962 272943 351058 526587 545886 1053174 1579761 1930819 3159522 3861638 4739283 5792457 9478566 11584914 17377371 34754742 52132113 104264226