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22507268 = 2272114833
BaseRepresentation
bin101010111011…
…0111100000100
31120100111011112
41111312330010
521230213033
62122224152
7362210600
oct125667404
946314145
1022507268
1111783053
127655058
134880714
142dbc500
151e98c48
hex1576f04

22507268 has 18 divisors (see below), whose sum is σ = 45818766. Its totient is φ = 9645888.

The previous prime is 22507259. The next prime is 22507279. The reversal of 22507268 is 86270522.

It can be written as a sum of positive squares in only one way, i.e., 11957764 + 10549504 = 3458^2 + 3248^2 .

It is a super-2 number, since 2×225072682 = 1013154225647648, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 57221 + ... + 57612.

It is an arithmetic number, because the mean of its divisors is an integer number (2545487).

Almost surely, 222507268 is an apocalyptic number.

22507268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22507268 is an abundant number, since it is smaller than the sum of its proper divisors (23311498).

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

22507268 is a wasteful number, since it uses less digits than its factorization.

22507268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114851 (or 114842 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 22507268 is about 4744.1825428624. The cubic root of 22507268 is about 282.3412029468.

The spelling of 22507268 in words is "twenty-two million, five hundred seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 114833 229666 459332 803831 1607662 3215324 5626817 11253634 22507268