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22780166761 = 112137212
BaseRepresentation
bin10101001101110011…
…011100001001101001
32011210120220101002001
4111031303130021221
5333123210314021
614244242011001
71434341136232
oct251563341151
964716811061
1022780166761
11972a8a0500
1244b9046a61
1321c067c621
141161626089
158d4d89091
hex54dcdc269

22780166761 has 9 divisors (see below), whose sum is σ = 25041181879. Its totient is φ = 20707733200.

The previous prime is 22780166707. The next prime is 22780166807. The reversal of 22780166761 is 16766108722.

It is a happy number.

The square root of 22780166761 is 150931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4770526761 + 18009640000 = 69069^2 + 134200^2 .

It is a de Polignac number, because none of the positive numbers 2k-22780166761 is a prime.

It is a super-2 number, since 2×227801667612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22780566761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1653381 + ... + 1667101.

Almost surely, 222780166761 is an apocalyptic number.

22780166761 is the 150931-st square number.

22780166761 is the 75466-th centered octagonal number.

It is an amenable number.

22780166761 is a deficient number, since it is larger than the sum of its proper divisors (2261015118).

22780166761 is an frugal number, since it uses more digits than its factorization.

22780166761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27464 (or 13732 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 22780166761 in words is "twenty-two billion, seven hundred eighty million, one hundred sixty-six thousand, seven hundred sixty-one".

Divisors: 1 11 121 13721 150931 1660241 188265841 2070924251 22780166761