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22144384 = 271131531
BaseRepresentation
bin101010001111…
…0010110000000
31112200001101101
41110132112000
521132110014
62110344144
7356136613
oct124362600
945601341
1022144384
1111555449
1274bb054
1347844b2
142d2617a
151e26474
hex151e580

22144384 has 32 divisors (see below), whose sum is σ = 44535240. Its totient is φ = 10967040.

The previous prime is 22144361. The next prime is 22144391. The reversal of 22144384 is 48344122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13699 + ... + 15229.

Almost surely, 222144384 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 22144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22267620).

22144384 is an abundant number, since it is smaller than the sum of its proper divisors (22390856).

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

22144384 is a wasteful number, since it uses less digits than its factorization.

22144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1646 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 22144384 is about 4705.7819754001. The cubic root of 22144384 is about 280.8155812600.

The spelling of 22144384 in words is "twenty-two million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1531 1808 3062 3616 6124 7232 12248 14464 24496 48992 97984 173003 195968 346006 692012 1384024 2768048 5536096 11072192 22144384