22301675676225 has 81 divisors (see below), whose sum is σ = 43907778906537. Its totient is φ = 10812555864000.

The previous prime is 22301675676197. The next prime is 22301675676227. The reversal of 22301675676225 is 52267657610322.

The square root of 22301675676225 is 4722465.

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

22301675676225 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 1 + 6 + 7 + 5 + 6 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12262105989441 + 10039569686784 = 3501729^2 + 3168528^2 .

It is not a de Polignac number, because 22301675676225 - 2⁷ = 22301675676097 is a prime.

It is a super-2 number, since 2×22301675676225² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22301675676227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 779192415 + ... + 779221035.

Almost surely, 2^{22301675676225} is an apocalyptic number.

22301675676225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22301675676225 is the 4722465-th square number.

22301675676225 is the 2361233-rd centered octagonal number.

It is an amenable number.

22301675676225 is a deficient number, since it is larger than the sum of its proper divisors (21606103230312).

22301675676225 is an frugal number, since it uses more digits than its factorization.

22301675676225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57280 (or 28640 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 22301675676225 in words is "twenty-two trillion, three hundred one billion, six hundred seventy-five million, six hundred seventy-six thousand, two hundred twenty-five".