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22693116 = 22331531151
BaseRepresentation
bin101011010010…
…0010011111100
31120200221002210
41112210103330
521302134431
62130220420
7363613455
oct126442374
946627083
1022693116
111189a746
127724710
1349171a4
14302a12c
151ed3d46
hex15a44fc

22693116 has 48 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 7176000.

The previous prime is 22693067. The next prime is 22693127. The reversal of 22693116 is 61139622.

It is a super-3 number, since 3×226931163 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19141 + ... + 20291.

It is an arithmetic number, because the mean of its divisors is an integer number (1161216).

Almost surely, 222693116 is an apocalyptic number.

It is an amenable number.

22693116 is an abundant number, since it is smaller than the sum of its proper divisors (33045252).

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

22693116 is a wasteful number, since it uses less digits than its factorization.

22693116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 22693116 is about 4763.7292114477. The cubic root of 22693116 is about 283.1161938014.

The spelling of 22693116 in words is "twenty-two million, six hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 31 53 62 93 106 124 159 186 212 318 372 636 1151 1643 2302 3286 3453 4604 4929 6572 6906 9858 13812 19716 35681 61003 71362 107043 122006 142724 183009 214086 244012 366018 428172 732036 1891093 3782186 5673279 7564372 11346558 22693116