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22661166 = 23111312621
BaseRepresentation
bin101011001110…
…0100000101110
31120122022021110
41112130200232
521300124131
62125412450
7363421353
oct126344056
946568243
1022661166
1111878740
12770a126
134905798
14301c62a
151ec9646
hex159c82e

22661166 has 32 divisors (see below), whose sum is σ = 49838976. Its totient is φ = 6812000.

The previous prime is 22661147. The next prime is 22661173. The reversal of 22661166 is 66116622.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7336 + ... + 9956.

It is an arithmetic number, because the mean of its divisors is an integer number (1557468).

Almost surely, 222661166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22661166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24919488).

22661166 is an abundant number, since it is smaller than the sum of its proper divisors (27177810).

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

22661166 is a wasteful number, since it uses less digits than its factorization.

22661166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768.

The product of its digits is 5184, while the sum is 30.

The square root of 22661166 is about 4760.3745650946. The cubic root of 22661166 is about 282.9832634619.

Adding to 22661166 its reverse (66116622), we get a palindrome (88777788).

The spelling of 22661166 in words is "twenty-two million, six hundred sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 2621 2882 4323 5242 7863 8646 15726 28831 57662 86493 172986 343351 686702 1030053 2060106 3776861 7553722 11330583 22661166