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107222427 = 3313305477
BaseRepresentation
bin1100110010000…
…01010110011011
321110202110112000
412121001112123
5204422104202
614350052043
72441242554
oct631012633
9243673460
10107222427
1155584884
122baaa023
13192a2030
141035132b
15962e91c
hex664159b

107222427 has 16 divisors (see below), whose sum is σ = 171067680. Its totient is φ = 65982816.

The previous prime is 107222399. The next prime is 107222441. The reversal of 107222427 is 724222701.

107222427 is a `hidden beast` number, since 10 + 7 + 222 + 427 = 666.

It is not a de Polignac number, because 107222427 - 26 = 107222363 is a prime.

It is a super-2 number, since 2×1072224272 = 22993297703540658, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107222427.

It is not an unprimeable number, because it can be changed into a prime (107222447) 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 15 ways as a sum of consecutive naturals, for example, 152388 + ... + 153089.

It is an arithmetic number, because the mean of its divisors is an integer number (10691730).

Almost surely, 2107222427 is an apocalyptic number.

107222427 is a deficient number, since it is larger than the sum of its proper divisors (63845253).

107222427 is a wasteful number, since it uses less digits than its factorization.

107222427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305499 (or 305493 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 107222427 is about 10354.8262660462. The cubic root of 107222427 is about 475.0746726556.

The spelling of 107222427 in words is "one hundred seven million, two hundred twenty-two thousand, four hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 351 305477 916431 2749293 3971201 8247879 11913603 35740809 107222427