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122266172 = 22725997109
BaseRepresentation
bin1110100100110…
…10001000111100
322112001202122202
413102122020330
5222300004142
620044331032
73013150100
oct722321074
9275052582
10122266172
116301a426
1234b43a78
131c43b562
1412349900
15ab02032
hex749a23c

122266172 has 72 divisors (see below), whose sum is σ = 258073200. Its totient is φ = 50512896.

The previous prime is 122266169. The next prime is 122266181. The reversal of 122266172 is 271662221.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1121654 + ... + 1121762.

It is an arithmetic number, because the mean of its divisors is an integer number (3584350).

Almost surely, 2122266172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122266172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129036600).

122266172 is an abundant number, since it is smaller than the sum of its proper divisors (135807028).

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

122266172 is a wasteful number, since it uses less digits than its factorization.

122266172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 122266172 is about 11057.4034926831. The cubic root of 122266172 is about 496.3279947711.

The spelling of 122266172 in words is "one hundred twenty-two million, two hundred sixty-six thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 59 97 98 109 118 194 196 218 236 388 413 436 679 763 826 1358 1526 1652 2716 2891 3052 4753 5341 5723 5782 6431 9506 10573 10682 11446 11564 12862 19012 21146 21364 22892 25724 40061 42292 45017 74011 80122 90034 148022 160244 180068 280427 296044 315119 518077 560854 623807 630238 1036154 1121708 1247614 1260476 2072308 2495228 4366649 8733298 17466596 30566543 61133086 122266172