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22079304 = 2334132621
BaseRepresentation
bin101010000111…
…0011101001000
31112112202010000
41110032131020
521123014204
62105123000
7355446102
oct124163510
945482100
1022079304
1111510565
127489460
1347609a0
142d0a572
151e12039
hex150e748

22079304 has 80 divisors (see below), whose sum is σ = 66625020. Its totient is φ = 6791040.

The previous prime is 22079261. The next prime is 22079327. The reversal of 22079304 is 40397022.

It can be written as a sum of positive squares in 2 ways, for example, as 22071204 + 8100 = 4698^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 7114 + ... + 9734.

Almost surely, 222079304 is an apocalyptic number.

22079304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22079304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312510).

22079304 is an abundant number, since it is smaller than the sum of its proper divisors (44545716).

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

22079304 is a wasteful number, since it uses less digits than its factorization.

22079304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22079304 is about 4698.8619898865. The cubic root of 22079304 is about 280.5402155729.

It can be divided in two parts, 2207 and 9304, that added together give a palindrome (11511).

The spelling of 22079304 in words is "twenty-two million, seventy-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2621 2808 4212 5242 7863 8424 10484 15726 20968 23589 31452 34073 47178 62904 68146 70767 94356 102219 136292 141534 188712 204438 212301 272584 283068 306657 408876 424602 566136 613314 817752 849204 919971 1226628 1698408 1839942 2453256 2759913 3679884 5519826 7359768 11039652 22079304