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22900968 = 233459599
BaseRepresentation
bin101011101011…
…1000011101000
31121002111020000
41113113003220
521330312333
62134503000
7365440446
oct127270350
947074200
1022900968
1111a21922
127804a60
13498a98c
143081b96
152025713
hex15d70e8

22900968 has 80 divisors (see below), whose sum is σ = 65340000. Its totient is φ = 7491744.

The previous prime is 22900967. The next prime is 22900973. The reversal of 22900968 is 86900922.

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 (22900961) 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 19 ways as a sum of consecutive naturals, for example, 37933 + ... + 38531.

It is an arithmetic number, because the mean of its divisors is an integer number (816750).

Almost surely, 222900968 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 22900968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32670000).

22900968 is an abundant number, since it is smaller than the sum of its proper divisors (42439032).

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

22900968 is a wasteful number, since it uses less digits than its factorization.

22900968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 22900968 is about 4785.4955856212. The cubic root of 22900968 is about 283.9779457846.

The spelling of 22900968 in words is "twenty-two million, nine hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 599 648 708 1062 1198 1416 1593 1797 2124 2396 3186 3594 4248 4779 4792 5391 6372 7188 9558 10782 12744 14376 16173 19116 21564 32346 35341 38232 43128 48519 64692 70682 97038 106023 129384 141364 194076 212046 282728 318069 388152 424092 636138 848184 954207 1272276 1908414 2544552 2862621 3816828 5725242 7633656 11450484 22900968