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122252168 = 231729139223
BaseRepresentation
bin1110100100101…
…10101110001000
322112001001110002
413102112232020
5222244032133
620044142132
73013061213
oct722265610
9275031402
10122252168
116300a955
1234b37948
131c43507c
141234477a
15aaecce8
hex7496b88

122252168 has 64 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 54899712.

The previous prime is 122252159. The next prime is 122252227. The reversal of 122252168 is 861252221.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 122252168.

It is an unprimeable number.

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, 548105 + ... + 548327.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2122252168 is an apocalyptic number.

It is an amenable number.

122252168 is an abundant number, since it is smaller than the sum of its proper divisors (131763832).

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

122252168 is a wasteful number, since it uses less digits than its factorization.

122252168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 122252168 is about 11056.7702336623. The cubic root of 122252168 is about 496.3090447418.

The spelling of 122252168 in words is "one hundred twenty-two million, two hundred fifty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 139 223 232 278 446 493 556 892 986 1112 1784 1972 2363 3791 3944 4031 4726 6467 7582 8062 9452 12934 15164 16124 18904 25868 30328 30997 32248 51736 61994 68527 109939 123988 137054 219878 247976 274108 439756 526949 548216 879512 898913 1053898 1797826 2107796 3595652 4215592 7191304 15281521 30563042 61126084 122252168