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22427964 = 223213172819
BaseRepresentation
bin101010110001…
…1100100111100
31120012110101100
41111203210330
521220143324
62120413100
7361430436
oct125434474
946173340
1022427964
1111729509
127617190
1348535b0
142d9b656
151e804c9
hex156393c

22427964 has 72 divisors (see below), whose sum is σ = 64668240. Its totient is φ = 6492672.

The previous prime is 22427963. The next prime is 22427969. The reversal of 22427964 is 46972422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22427963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6547 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (898170).

Almost surely, 222427964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22427964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32334120).

22427964 is an abundant number, since it is smaller than the sum of its proper divisors (42240276).

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

22427964 is a wasteful number, since it uses less digits than its factorization.

22427964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2854 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22427964 is about 4735.8171417402. The cubic root of 22427964 is about 282.0092044679.

The spelling of 22427964 in words is "twenty-two million, four hundred twenty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 2819 3978 5638 7956 8457 11276 16914 25371 33828 36647 47923 50742 73294 95846 101484 109941 143769 146588 191692 219882 287538 329823 431307 439764 575076 622999 659646 862614 1245998 1319292 1725228 1868997 2491996 3737994 5606991 7475988 11213982 22427964