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22990824 = 2333163653
BaseRepresentation
bin101011110110…
…0111111101000
31121021001111000
41113230333220
521341201244
62140435000
7366263433
oct127547750
947231430
1022990824
1111a8338a
127848a60
1349bc84c
1430a681a
152042169
hex15ecfe8

22990824 has 64 divisors (see below), whose sum is σ = 64353600. Its totient is φ = 7604928.

The previous prime is 22990813. The next prime is 22990829. The reversal of 22990824 is 42809922.

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

It is not an unprimeable number, because it can be changed into a prime (22990829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34882 + ... + 35534.

It is an arithmetic number, because the mean of its divisors is an integer number (1005525).

Almost surely, 222990824 is an apocalyptic number.

22990824 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 22990824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32176800).

22990824 is an abundant number, since it is smaller than the sum of its proper divisors (41362776).

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

22990824 is a wasteful number, since it uses less digits than its factorization.

22990824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 22990824 is about 4794.8747637451. The cubic root of 22990824 is about 284.3488736453.

The spelling of 22990824 in words is "twenty-two million, nine hundred ninety thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 653 978 1304 1306 1467 1956 1959 2612 2934 3912 3918 4401 5224 5868 5877 7836 8802 11736 11754 15672 17604 17631 23508 35208 35262 47016 70524 106439 141048 212878 319317 425756 638634 851512 957951 1277268 1915902 2554536 2873853 3831804 5747706 7663608 11495412 22990824