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122086172 = 221319294261
BaseRepresentation
bin1110100011011…
…10001100011100
322111201121202002
413101232030130
5222223224142
620040421432
73011500235
oct721561434
9274647662
10122086172
1162a0716a
1234a77878
131c3a7650
141230008c
15aab8a32
hex746e31c

122086172 has 48 divisors (see below), whose sum is σ = 250605600. Its totient is φ = 51528960.

The previous prime is 122086171. The next prime is 122086187. The reversal of 122086172 is 271680221.

It is a super-2 number, since 2×1220861722 = 29810066787227168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122086171) 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, 26522 + ... + 30782.

It is an arithmetic number, because the mean of its divisors is an integer number (5220950).

Almost surely, 2122086172 is an apocalyptic number.

It is an amenable number.

122086172 is an abundant number, since it is smaller than the sum of its proper divisors (128519428).

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

122086172 is a wasteful number, since it uses less digits than its factorization.

122086172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 122086172 is about 11049.2611517694. The cubic root of 122086172 is about 496.0843108067.

The spelling of 122086172 in words is "one hundred twenty-two million, eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 4 13 19 26 29 38 52 58 76 116 247 377 494 551 754 988 1102 1508 2204 4261 7163 8522 14326 17044 28652 55393 80959 110786 123569 161918 221572 247138 323836 494276 1052467 1606397 2104934 2347811 3212794 4209868 4695622 6425588 9391244 30521543 61043086 122086172