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106226802 = 2341159611
BaseRepresentation
bin1100101010011…
…10010001110010
321101212212210000
412111032101302
5204143224202
614312450430
72426625063
oct625162162
9241785700
10106226802
1154a64850
122b6a9a16
1319013ac6
141017256a
1594d491c
hex654e472

106226802 has 40 divisors (see below), whose sum is σ = 259669872. Its totient is φ = 32189400.

The previous prime is 106226789. The next prime is 106226807. The reversal of 106226802 is 208622601.

It is a super-3 number, since 3×1062268023 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (106226807) 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 19 ways as a sum of consecutive naturals, for example, 28024 + ... + 31587.

Almost surely, 2106226802 is an apocalyptic number.

106226802 is an abundant number, since it is smaller than the sum of its proper divisors (153443070).

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

106226802 is a wasteful number, since it uses less digits than its factorization.

106226802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59636 (or 59627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106226802 is about 10306.6387343304. The cubic root of 106226802 is about 473.5996459215.

It can be divided in two parts, 10622 and 6802, that added together give a square (17424 = 1322).

The spelling of 106226802 in words is "one hundred six million, two hundred twenty-six thousand, eight hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 59611 119222 178833 357666 536499 655721 1072998 1311442 1609497 1967163 3218994 3934326 4828491 5901489 9656982 11802978 17704467 35408934 53113401 106226802