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21885066 = 23572919
BaseRepresentation
bin101001101111…
…1000010001010
31112011212200000
41103133002022
521100310231
62101023430
7354006600
oct123370212
945155600
1021885066
1111398635
1273b4b76
1346c3458
142c99870
151dc46e6
hex14df08a

21885066 has 72 divisors (see below), whose sum is σ = 57264480. Its totient is φ = 6246072.

The previous prime is 21885041. The next prime is 21885067. The reversal of 21885066 is 66058812.

It is a happy number.

It is a super-2 number, since 2×218850662 = 957912227648712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21885066.

It is not an unprimeable number, because it can be changed into a prime (21885067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23355 + ... + 24273.

It is an arithmetic number, because the mean of its divisors is an integer number (795340).

Almost surely, 221885066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21885066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28632240).

21885066 is an abundant number, since it is smaller than the sum of its proper divisors (35379414).

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

21885066 is an equidigital number, since it uses as much as digits as its factorization.

21885066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 21885066 is about 4678.1477103657. The cubic root of 21885066 is about 279.7151269340.

The spelling of 21885066 in words is "twenty-one million, eight hundred eighty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 919 1134 1323 1701 1838 2646 2757 3402 3969 5514 6433 7938 8271 11907 12866 16542 19299 23814 24813 38598 45031 49626 57897 74439 90062 115794 135093 148878 173691 223317 270186 347382 405279 446634 521073 810558 1042146 1215837 1563219 2431674 3126438 3647511 7295022 10942533 21885066