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122942328 = 23361791063
BaseRepresentation
bin1110101001111…
…11001101111000
322120100010011120
413110333031320
5222433123303
620111025240
73021664305
oct724771570
9276303146
10122942328
1163441433
123520b220
131c617252
14124840ac
15abd7553
hex753f378

122942328 has 64 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 39761280.

The previous prime is 122942327. The next prime is 122942329. The reversal of 122942328 is 823249221.

It is an interprime number because it is at equal distance from previous prime (122942327) and next prime (122942329).

It is a super-2 number, since 2×1229423282 = 30229632028119168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122942327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115125 + ... + 116187.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2122942328 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 122942328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

122942328 is an abundant number, since it is smaller than the sum of its proper divisors (193704072).

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

122942328 is a wasteful number, since it uses less digits than its factorization.

122942328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1208 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 122942328 is about 11087.9361470023. The cubic root of 122942328 is about 497.2412438573.

The spelling of 122942328 in words is "one hundred twenty-two million, nine hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 79 122 158 183 237 244 316 366 474 488 632 732 948 1063 1464 1896 2126 3189 4252 4819 6378 8504 9638 12756 14457 19276 25512 28914 38552 57828 64843 83977 115656 129686 167954 194529 251931 259372 335908 389058 503862 518744 671816 778116 1007724 1556232 2015448 5122597 10245194 15367791 20490388 30735582 40980776 61471164 122942328