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106967224 = 23713146933
BaseRepresentation
bin1100110000000…
…11000010111000
321110021111110001
412120003002320
5204340422344
614340402344
72436130540
oct630030270
9243244401
10106967224
1155420071
122b9a63b4
1319212b20
14102c6320
1595cded4
hex66030b8

106967224 has 32 divisors (see below), whose sum is σ = 246849120. Its totient is φ = 42316416.

The previous prime is 106967219. The next prime is 106967233. The reversal of 106967224 is 422769601.

It is a super-2 number, since 2×1069672242 = 22883974020532352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72739 + ... + 74194.

It is an arithmetic number, because the mean of its divisors is an integer number (7714035).

Almost surely, 2106967224 is an apocalyptic number.

106967224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106967224 is an abundant number, since it is smaller than the sum of its proper divisors (139881896).

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

106967224 is a wasteful number, since it uses less digits than its factorization.

106967224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146959 (or 146955 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 106967224 is about 10342.4960236879. The cubic root of 106967224 is about 474.6974605315.

The spelling of 106967224 in words is "one hundred six million, nine hundred sixty-seven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 146933 293866 587732 1028531 1175464 1910129 2057062 3820258 4114124 7640516 8228248 13370903 15281032 26741806 53483612 106967224