22900466241 has 27 divisors (see below), whose sum is σ = 33586393347. Its totient is φ = 15036049440.

The previous prime is 22900466231. The next prime is 22900466249. The reversal of 22900466241 is 14266400922.

The square root of 22900466241 is 151329.

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

22900466241 is a `hidden beast` number, since 2 + 29 + 0 + 0 + 4 + 6 + 624 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12999420225 + 9901046016 = 114015^2 + 99504^2 .

It is not a de Polignac number, because 22900466241 - 2¹⁵ = 22900433473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22900466196 and 22900466205.

It is not an unprimeable number, because it can be changed into a prime (22900466249) 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, 33140706 + ... + 33141396.

Almost surely, 2^22900466241 is an apocalyptic number.

22900466241 is the 151329-th square number.

22900466241 is the 75665-th centered octagonal number.

It is an amenable number.

22900466241 is a deficient number, since it is larger than the sum of its proper divisors (10685927106).

22900466241 is an frugal number, since it uses more digits than its factorization.

22900466241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 22900466241 by its sum of digits (36), we get a square (824416784676 = 907974²).

The spelling of 22900466241 in words is "twenty-two billion, nine hundred million, four hundred sixty-six thousand, two hundred forty-one".