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22644424 = 23112149157
BaseRepresentation
bin101011001100…
…0011011001000
31120121110022101
41112120123020
521244110144
62125203144
7363321505
oct126303310
946543271
1022644424
1111867100
1277004b4
1348cac8a
1430164ac
151ec46d4
hex15986c8

22644424 has 48 divisors (see below), whose sum is σ = 47281500. Its totient is φ = 10158720.

The previous prime is 22644421. The next prime is 22644437. The reversal of 22644424 is 42444622.

It can be written as a sum of positive squares in 2 ways, for example, as 20340100 + 2304324 = 4510^2 + 1518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22644392 and 22644401.

It is not an unprimeable number, because it can be changed into a prime (22644421) 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, 144154 + ... + 144310.

Almost surely, 222644424 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 22644424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23640750).

22644424 is an abundant number, since it is smaller than the sum of its proper divisors (24637076).

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

22644424 is a wasteful number, since it uses less digits than its factorization.

22644424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 22644424 is about 4758.6157651149. The cubic root of 22644424 is about 282.9135572368.

It can be divided in two parts, 22 and 644424, that added together give a palindrome (644446).

The spelling of 22644424 in words is "twenty-two million, six hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 149 157 242 298 314 484 596 628 968 1192 1256 1639 1727 3278 3454 6556 6908 13112 13816 18029 18997 23393 36058 37994 46786 72116 75988 93572 144232 151976 187144 257323 514646 1029292 2058584 2830553 5661106 11322212 22644424