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22187268 = 2232616313
BaseRepresentation
bin101010010100…
…0110100000100
31112202020012200
41110220310010
521134443033
62111314500
7356405625
oct124506404
945666180
1022187268
1111584694
12751ba30
13479ab7c
142d37a4c
151e34013
hex1528d04

22187268 has 18 divisors (see below), whose sum is σ = 56084574. Its totient is φ = 7395744.

The previous prime is 22187239. The next prime is 22187279. The reversal of 22187268 is 86278122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20629764 + 1557504 = 4542^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×221872682 = 984549722607648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 616313 = 22187268 / (2 + 2 + 1 + 8 + 7 + 2 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308121 + ... + 308192.

Almost surely, 222187268 is an apocalyptic number.

It is an amenable number.

22187268 is an abundant number, since it is smaller than the sum of its proper divisors (33897306).

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

22187268 is a wasteful number, since it uses less digits than its factorization.

22187268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616323 (or 616318 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22187268 is about 4710.3362937268. The cubic root of 22187268 is about 280.9967367478.

The spelling of 22187268 in words is "twenty-two million, one hundred eighty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 616313 1232626 1848939 2465252 3697878 5546817 7395756 11093634 22187268