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22790664 = 23321321873
BaseRepresentation
bin101011011110…
…0001000001000
31120212212220200
41112330020020
521313300124
62132252200
7364501041
oct126741010
946785820
1022790664
1111956a66
127771060
13494c700
1430538c8
152002bc9
hex15bc208

22790664 has 72 divisors (see below), whose sum is σ = 66873690. Its totient is φ = 7008768.

The previous prime is 22790641. The next prime is 22790681. The reversal of 22790664 is 46609722.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4796100 + 17994564 = 2190^2 + 4242^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11232 + ... + 13104.

Almost surely, 222790664 is an apocalyptic number.

22790664 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 22790664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33436845).

22790664 is an abundant number, since it is smaller than the sum of its proper divisors (44083026).

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

22790664 is a wasteful number, since it uses less digits than its factorization.

22790664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 22790664 is about 4773.9568494070. The cubic root of 22790664 is about 283.5212790687.

The spelling of 22790664 in words is "twenty-two million, seven hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 1873 2028 3042 3746 4056 5619 6084 7492 11238 12168 14984 16857 22476 24349 33714 44952 48698 67428 73047 97396 134856 146094 194792 219141 292188 316537 438282 584376 633074 876564 949611 1266148 1753128 1899222 2532296 2848833 3798444 5697666 7596888 11395332 22790664