Search a number
-
+
22465513225 = 523129672
BaseRepresentation
bin10100111011000011…
…001000011100001001
32010222122211022120101
4110323003020130021
5332002132410400
614153121525401
71423500466051
oct247303103411
963878738511
1022465513225
119589218661
12442b7a3861
132170420abc
14113191a561
158b743356a
hex53b0c8709

22465513225 has 27 divisors (see below), whose sum is σ = 28814642631. Its totient is φ = 17374669200.

The previous prime is 22465513207. The next prime is 22465513229. The reversal of 22465513225 is 52231556422.

The square root of 22465513225 is 149885.

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., 8087584761 + 14377928464 = 89931^2 + 119908^2 .

It is not a de Polignac number, because 22465513225 - 213 = 22465505033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22465513229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23231692 + ... + 23232658.

Almost surely, 222465513225 is an apocalyptic number.

22465513225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22465513225 is the 149885-th square number.

22465513225 is the 74943-rd centered octagonal number.

It is an amenable number.

22465513225 is a deficient number, since it is larger than the sum of its proper divisors (6349129406).

22465513225 is an frugal number, since it uses more digits than its factorization.

22465513225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

The spelling of 22465513225 in words is "twenty-two billion, four hundred sixty-five million, five hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 967 4805 4835 24025 24175 29977 149885 749425 929287 935089 4646435 4675445 23232175 23377225 28987759 144938795 724693975 898620529 4493102645 22465513225