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22680966 = 2371124463
BaseRepresentation
bin101011010000…
…1010110000110
31120200022102210
41112201112012
521301242331
62130044250
7363533160
oct126412606
946608383
1022680966
1111891600
127719686
1349117b9
143025930
151ed0446
hex15a1586

22680966 has 48 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 5889840.

The previous prime is 22680953. The next prime is 22680991. The reversal of 22680966 is 66908622.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2851 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 222680966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22680966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

22680966 is an abundant number, since it is smaller than the sum of its proper divisors (34315386).

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

22680966 is a wasteful number, since it uses less digits than its factorization.

22680966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 22680966 is about 4762.4537793033. The cubic root of 22680966 is about 283.0656575383.

The spelling of 22680966 in words is "twenty-two million, six hundred eighty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 4463 5082 8926 13389 26778 31241 49093 62482 93723 98186 147279 187446 294558 343651 540023 687302 1030953 1080046 1620069 2061906 3240138 3780161 7560322 11340483 22680966