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22464 = 263313
BaseRepresentation
bin101011111000000
31010211000
411133000
51204324
6252000
7122331
oct53700
933730
1022464
1115972
1211000
13a2c0
148288
1569c9
hex57c0

22464 has 56 divisors (see below), whose sum is σ = 71120. Its totient is φ = 6912.

The previous prime is 22453. The next prime is 22469. The reversal of 22464 is 46422.

Adding to 22464 its reverse (46422), we get a palindrome (68886).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 4 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (1270).

222464 is an apocalyptic number.

22464 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 22464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35560).

22464 is an abundant number, since it is smaller than the sum of its proper divisors (48656).

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

22464 is a wasteful number, since it uses less digits than its factorization.

22464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 18 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 22464 is about 149.8799519616. The cubic root of 22464 is about 28.2160162526.

The spelling of 22464 in words is "twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464