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22464680 = 235780231
BaseRepresentation
bin101010110110…
…0100010101000
31120021022202012
41111230202220
521222332210
62121255052
7361642460
oct125544250
946238665
1022464680
1111754057
127634488
134867214
142daaba0
151e8b305
hex156c8a8

22464680 has 32 divisors (see below), whose sum is σ = 57767040. Its totient is φ = 7702080.

The previous prime is 22464643. The next prime is 22464683. The reversal of 22464680 is 8646422.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22464683) 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 7 ways as a sum of consecutive naturals, for example, 39836 + ... + 40395.

It is an arithmetic number, because the mean of its divisors is an integer number (1805220).

Almost surely, 222464680 is an apocalyptic number.

22464680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22464680 is an abundant number, since it is smaller than the sum of its proper divisors (35302360).

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

22464680 is a wasteful number, since it uses less digits than its factorization.

22464680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80249 (or 80245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 22464680 is about 4739.6919731139. The cubic root of 22464680 is about 282.1630095554.

The spelling of 22464680 in words is "twenty-two million, four hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 80231 160462 320924 401155 561617 641848 802310 1123234 1604620 2246468 2808085 3209240 4492936 5616170 11232340 22464680