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22681668 = 22319531877
BaseRepresentation
bin101011010000…
…1100001000100
31120200100101210
41112201201010
521301303133
62130051420
7363535212
oct126414104
946610353
1022681668
1111892089
127719b70
134911c09
143025cb2
151ed0763
hex15a1844

22681668 has 48 divisors (see below), whose sum is σ = 56790720. Its totient is φ = 7023744.

The previous prime is 22681663. The next prime is 22681679. The reversal of 22681668 is 86618622.

It is not an unprimeable number, because it can be changed into a prime (22681663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11146 + ... + 13022.

It is an arithmetic number, because the mean of its divisors is an integer number (1183140).

Almost surely, 222681668 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 22681668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28395360).

22681668 is an abundant number, since it is smaller than the sum of its proper divisors (34109052).

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

22681668 is a wasteful number, since it uses less digits than its factorization.

22681668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1954 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 22681668 is about 4762.5274802357. The cubic root of 22681668 is about 283.0685779025.

The spelling of 22681668 in words is "twenty-two million, six hundred eighty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 1877 2014 3021 3754 4028 5631 6042 7508 11262 12084 22524 35663 71326 99481 106989 142652 198962 213978 298443 397924 427956 596886 1193772 1890139 3780278 5670417 7560556 11340834 22681668