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22990920 = 2335283677
BaseRepresentation
bin101011110110…
…1000001001000
31121021001121120
41113231001020
521341202140
62140435240
7366263631
oct127550110
947231546
1022990920
1111a83467
127848b20
1349bc8c4
1430a6888
1520421d0
hex15ed048

22990920 has 64 divisors (see below), whose sum is σ = 69318720. Its totient is φ = 6100224.

The previous prime is 22990897. The next prime is 22990921. The reversal of 22990920 is 2909922.

It is not an unprimeable number, because it can be changed into a prime (22990921) 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 15 ways as a sum of consecutive naturals, for example, 33622 + ... + 34298.

It is an arithmetic number, because the mean of its divisors is an integer number (1083105).

Almost surely, 222990920 is an apocalyptic number.

22990920 is a gapful number since it is divisible by the number (20) 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 22990920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659360).

22990920 is an abundant number, since it is smaller than the sum of its proper divisors (46327800).

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

22990920 is a wasteful number, since it uses less digits than its factorization.

22990920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 22990920 is about 4794.8847744237. The cubic root of 22990920 is about 284.3492694185.

The spelling of 22990920 in words is "twenty-two million, nine hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 677 849 1132 1354 1415 1698 2031 2264 2708 2830 3385 3396 4062 4245 5416 5660 6770 6792 8124 8490 10155 11320 13540 16248 16980 20310 27080 33960 40620 81240 191591 383182 574773 766364 957955 1149546 1532728 1915910 2299092 2873865 3831820 4598184 5747730 7663640 11495460 22990920