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22264424 = 23721317257
BaseRepresentation
bin101010011101…
…1101001101000
31112220011001022
41110323221220
521144430144
62113112012
7360146600
oct124735150
945804038
1022264424
1111627656
127558608
1347c7020
142d57c00
151e4bcee
hex153ba68

22264424 has 96 divisors (see below), whose sum is σ = 55588680. Its totient is φ = 8257536.

The previous prime is 22264423. The next prime is 22264433. The reversal of 22264424 is 42446222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21996100 + 268324 = 4690^2 + 518^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22264393 and 22264402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22264423) 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, 86504 + ... + 86760.

Almost surely, 222264424 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 22264424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794340).

22264424 is an abundant number, since it is smaller than the sum of its proper divisors (33324256).

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

22264424 is a wasteful number, since it uses less digits than its factorization.

22264424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 22264424 is about 4718.5192592592. The cubic root of 22264424 is about 281.3220810146.

It can be divided in two parts, 222 and 64424, that added together give a palindrome (64646).

The spelling of 22264424 in words is "twenty-two million, two hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 257 364 392 442 476 514 637 728 833 884 952 1028 1274 1547 1666 1768 1799 2056 2548 3094 3332 3341 3598 4369 5096 6188 6664 6682 7196 8738 10829 12376 12593 13364 14392 17476 21658 23387 25186 26728 30583 34952 43316 46774 50372 56797 61166 86632 93548 100744 113594 122332 163709 187096 214081 227188 244664 327418 397579 428162 454376 654836 795158 856324 1309672 1590316 1712648 2783053 3180632 5566106 11132212 22264424