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22258116 = 22321374513
BaseRepresentation
bin101010011101…
…0000111000100
31112212211101200
41110322013010
521144224431
62113022500
7360122316
oct124720704
945784350
1022258116
1111622941
127554a30
1347c41aa
142d557b6
151e49ee6
hex153a1c4

22258116 has 36 divisors (see below), whose sum is σ = 56686812. Its totient is φ = 7363584.

The previous prime is 22258097. The next prime is 22258123. The reversal of 22258116 is 61185222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 18096516 = 2040^2 + 4254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22258116.

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 11 ways as a sum of consecutive naturals, for example, 2676 + ... + 7188.

Almost surely, 222258116 is an apocalyptic number.

It is an amenable number.

22258116 is an abundant number, since it is smaller than the sum of its proper divisors (34428696).

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

22258116 is a wasteful number, since it uses less digits than its factorization.

22258116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4655 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 22258116 is about 4717.8507818709. The cubic root of 22258116 is about 281.2955102650.

The spelling of 22258116 in words is "twenty-two million, two hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4513 4932 9026 13539 18052 27078 40617 54156 81234 162468 618281 1236562 1854843 2473124 3709686 5564529 7419372 11129058 22258116