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122465252 = 227133110853
BaseRepresentation
bin1110100110010…
…10101111100100
322112102212202002
413103022233210
5222322342002
620052504432
73014636360
oct723125744
9275385662
10122465252
1163145a58
123501b118
131c4ab060
141239c2a0
15ab41002
hex74cabe4

122465252 has 48 divisors (see below), whose sum is σ = 272305152. Its totient is φ = 46880640.

The previous prime is 122465251. The next prime is 122465261. The reversal of 122465252 is 252564221.

It is not an unprimeable number, because it can be changed into a prime (122465251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5858 + ... + 16710.

It is an arithmetic number, because the mean of its divisors is an integer number (5673024).

Almost surely, 2122465252 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 122465252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136152576).

122465252 is an abundant number, since it is smaller than the sum of its proper divisors (149839900).

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

122465252 is a wasteful number, since it uses less digits than its factorization.

122465252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10906 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 122465252 is about 11066.4019446250. The cubic root of 122465252 is about 496.5972308578.

The spelling of 122465252 in words is "one hundred twenty-two million, four hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 10853 11284 21706 43412 75971 141089 151942 282178 303884 336443 564356 672886 987623 1345772 1975246 2355101 3950492 4373759 4710202 8747518 9420404 17495036 30616313 61232626 122465252