Search a number
-
+
122625195 = 35721129523
BaseRepresentation
bin1110100111100…
…01110010101011
322112202000010220
413103301302223
5222343001240
620100141123
73016203600
oct723616253
9275660126
10122625195
1163245140
12350977a3
131c535ab4
14124006a7
15ab735d0
hex74f1cab

122625195 has 96 divisors (see below), whose sum is σ = 258059520. Its totient is φ = 49109760.

The previous prime is 122625161. The next prime is 122625197. The reversal of 122625195 is 591526221.

It is not a de Polignac number, because 122625195 - 28 = 122624939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122625197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234204 + ... + 234726.

It is an arithmetic number, because the mean of its divisors is an integer number (2688120).

Almost surely, 2122625195 is an apocalyptic number.

122625195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122625195 is an abundant number, since it is smaller than the sum of its proper divisors (135434325).

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

122625195 is a wasteful number, since it uses less digits than its factorization.

122625195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 122625195 is about 11073.6260998825. The cubic root of 122625195 is about 496.8133267071.

The spelling of 122625195 in words is "one hundred twenty-two million, six hundred twenty-five thousand, one hundred ninety-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 49 55 77 87 105 145 147 165 203 231 245 319 385 435 523 539 609 735 957 1015 1155 1421 1569 1595 1617 2233 2615 2695 3045 3661 4263 4785 5753 6699 7105 7845 8085 10983 11165 15167 15631 17259 18305 21315 25627 28765 33495 40271 45501 46893 54915 75835 76881 78155 86295 106169 120813 128135 166837 201355 227505 234465 281897 318507 384405 500511 530845 604065 743183 834185 845691 1167859 1409485 1592535 2229549 2502555 3503577 3715915 4228455 5839295 8175013 11147745 17517885 24525039 40875065 122625195