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22117024 = 252923833
BaseRepresentation
bin101010001011…
…1101010100000
31112121122212001
41110113222200
521130221044
62110013344
7355664056
oct124275240
945548761
1022117024
1111536936
1274a7254
134774bc7
142d1a1d6
151e1d2d4
hex1517aa0

22117024 has 24 divisors (see below), whose sum is σ = 45046260. Its totient is φ = 10676736.

The previous prime is 22117021. The next prime is 22117031. The reversal of 22117024 is 42071122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20976400 + 1140624 = 4580^2 + 1068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22116992 and 22117010.

It is not an unprimeable number, because it can be changed into a prime (22117021) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10989 + ... + 12844.

Almost surely, 222117024 is an apocalyptic number.

It is an amenable number.

22117024 is an abundant number, since it is smaller than the sum of its proper divisors (22929236).

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

22117024 is a wasteful number, since it uses less digits than its factorization.

22117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23872 (or 23864 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 22117024 is about 4702.8740148977. The cubic root of 22117024 is about 280.6998817865.

Adding to 22117024 its reverse (42071122), we get a palindrome (64188146).

The spelling of 22117024 in words is "twenty-two million, one hundred seventeen thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 23833 47666 95332 190664 381328 691157 762656 1382314 2764628 5529256 11058512 22117024