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106227152 = 2417222973
BaseRepresentation
bin1100101010011…
…10010111010000
321101212220020222
412111032113100
5204143232102
614312452212
72426626103
oct625162720
9241786228
10106227152
1154a65039
122b6aa068
1319014005
141017273a
1594d4aa2
hex654e5d0

106227152 has 30 divisors (see below), whose sum is σ = 218643558. Its totient is φ = 49987072.

The previous prime is 106227151. The next prime is 106227167. The reversal of 106227152 is 251722601.

It can be written as a sum of positive squares in 3 ways, for example, as 46566976 + 59660176 = 6824^2 + 7724^2 .

It is a super-2 number, since 2×1062271522 = 22568415644062208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106227151) 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 5 ways as a sum of consecutive naturals, for example, 6863 + ... + 16110.

Almost surely, 2106227152 is an apocalyptic number.

It is an amenable number.

106227152 is an abundant number, since it is smaller than the sum of its proper divisors (112416406).

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

106227152 is a wasteful number, since it uses less digits than its factorization.

106227152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23015 (or 22992 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 106227152 is about 10306.6557136639. The cubic root of 106227152 is about 473.6001660655.

Adding to 106227152 its reverse (251722601), we get a palindrome (357949753).

The spelling of 106227152 in words is "one hundred six million, two hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 22973 45946 91892 183784 367568 390541 781082 1562164 3124328 6248656 6639197 13278394 26556788 53113576 106227152