Search a number
-
+
22172904 = 23321323689
BaseRepresentation
bin101010010010…
…1010011101000
31112201111111200
41110211103220
521134013104
62111124200
7356316015
oct124452350
945644450
1022172904
1111574916
127513660
134794480
142d3270c
151e2eb39
hex15254e8

22172904 has 48 divisors (see below), whose sum is σ = 64673700. Its totient is φ = 6822144.

The previous prime is 22172903. The next prime is 22172911. The reversal of 22172904 is 40927122.

It can be written as a sum of positive squares in 2 ways, for example, as 16892100 + 5280804 = 4110^2 + 2298^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22172903) 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 11 ways as a sum of consecutive naturals, for example, 10909 + ... + 12780.

Almost surely, 222172904 is an apocalyptic number.

22172904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22172904 is an abundant number, since it is smaller than the sum of its proper divisors (42500796).

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

22172904 is a wasteful number, since it uses less digits than its factorization.

22172904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23714 (or 23707 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 22172904 is about 4708.8113149711. The cubic root of 22172904 is about 280.9360847189.

The spelling of 22172904 in words is "twenty-two million, one hundred seventy-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 23689 47378 71067 94756 142134 189512 213201 284268 307957 426402 568536 615914 852804 923871 1231828 1705608 1847742 2463656 2771613 3695484 5543226 7390968 11086452 22172904