Search a number
-
+
122561616 = 24318114107
BaseRepresentation
bin1110100111000…
…10010001010000
322112121202221010
413103202101100
5222333432431
620054530520
73015520332
oct723422120
9275552833
10122561616
11632013a1
1235066a40
131c512b88
14123c5452
15ab5e846
hex74e2450

122561616 has 40 divisors (see below), whose sum is σ = 318389344. Its totient is φ = 40625280.

The previous prime is 122561597. The next prime is 122561623. The reversal of 122561616 is 616165221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1635 + ... + 15741.

Almost surely, 2122561616 is an apocalyptic number.

122561616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122561616 is an abundant number, since it is smaller than the sum of its proper divisors (195827728).

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

122561616 is a wasteful number, since it uses less digits than its factorization.

122561616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299 (or 14293 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 122561616 is about 11070.7549878046. The cubic root of 122561616 is about 496.7274488819.

The spelling of 122561616 in words is "one hundred twenty-two million, five hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 543 724 1086 1448 2172 2896 4344 8688 14107 28214 42321 56428 84642 112856 169284 225712 338568 677136 2553367 5106734 7660101 10213468 15320202 20426936 30640404 40853872 61280808 122561616