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106224408 = 23321475339
BaseRepresentation
bin1100101010011…
…01101100011000
321101212202111100
412111031230120
5204143140113
614312431400
72426615103
oct625155430
9241782440
10106224408
1154a62a74
122b6a8560
13190129a4
141017173a
1594d3d73
hex654db18

106224408 has 24 divisors (see below), whose sum is σ = 287691300. Its totient is φ = 35408112.

The previous prime is 106224403. The next prime is 106224439. The reversal of 106224408 is 804422601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1062244082 = 22567249709900928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106224401) 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, 737598 + ... + 737741.

Almost surely, 2106224408 is an apocalyptic number.

106224408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106224408 is an abundant number, since it is smaller than the sum of its proper divisors (181466892).

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

106224408 is a wasteful number, since it uses less digits than its factorization.

106224408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475351 (or 1475344 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 106224408 is about 10306.5225949396. The cubic root of 106224408 is about 473.5960881061.

The spelling of 106224408 in words is "one hundred six million, two hundred twenty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1475339 2950678 4426017 5901356 8852034 11802712 13278051 17704068 26556102 35408136 53112204 106224408