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22680528 = 24313191913
BaseRepresentation
bin101011010000…
…1001111010000
31120200021211120
41112201033100
521301234103
62130042240
7363531663
oct126411720
946607746
1022680528
1111891242
127719380
134911540
1430256da
151ed0253
hex15a13d0

22680528 has 80 divisors (see below), whose sum is σ = 66454080. Its totient is φ = 6607872.

The previous prime is 22680521. The next prime is 22680529. The reversal of 22680528 is 82508622.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680521) 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, 10900 + ... + 12812.

It is an arithmetic number, because the mean of its divisors is an integer number (830676).

Almost surely, 222680528 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 22680528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33227040).

22680528 is an abundant number, since it is smaller than the sum of its proper divisors (43773552).

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

22680528 is a wasteful number, since it uses less digits than its factorization.

22680528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 22680528 is about 4762.4077943830. The cubic root of 22680528 is about 283.0638354002.

The spelling of 22680528 in words is "twenty-two million, six hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1913 1976 2964 3826 3952 5739 5928 7652 11478 11856 15304 22956 24869 30608 36347 45912 49738 72694 74607 91824 99476 109041 145388 149214 198952 218082 290776 298428 397904 436164 472511 581552 596856 872328 945022 1193712 1417533 1744656 1890044 2835066 3780088 5670132 7560176 11340264 22680528