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106227639 = 3372233491
BaseRepresentation
bin1100101010011…
…10011110110111
321101212220221000
412111032132313
5204143241024
614312454343
72426630400
oct625163667
9241786830
10106227639
1154a65441
122b6aa3b3
13190142bb
14101729a7
1594d4cc9
hex654e7b7

106227639 has 48 divisors (see below), whose sum is σ = 191082240. Its totient is φ = 58045680.

The previous prime is 106227623. The next prime is 106227643. The reversal of 106227639 is 936722601.

106227639 is a `hidden beast` number, since 10 + 6 + 2 + 2 + 7 + 639 = 666.

It is not a de Polignac number, because 106227639 - 24 = 106227623 is a prime.

It is a super-2 number, since 2×1062276392 = 22568622575028642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106227239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28684 + ... + 32174.

It is an arithmetic number, because the mean of its divisors is an integer number (3980880).

Almost surely, 2106227639 is an apocalyptic number.

106227639 is a deficient number, since it is larger than the sum of its proper divisors (84854601).

106227639 is a wasteful number, since it uses less digits than its factorization.

106227639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106227639 is about 10306.6793391470. The cubic root of 106227639 is about 473.6008898068.

The spelling of 106227639 in words is "one hundred six million, two hundred twenty-seven thousand, six hundred thirty-nine".

Divisors: 1 3 7 9 21 23 27 49 63 69 147 161 189 207 441 483 621 1127 1323 1449 3381 3491 4347 10143 10473 24437 30429 31419 73311 80293 94257 171059 219933 240879 513177 562051 659799 722637 1539531 1686153 2167911 3934357 4618593 5058459 11803071 15175377 35409213 106227639