22040236258209 has 243 divisors, whose sum is σ = 37515546641313. Its totient is φ = 12460718260224.

The previous prime is 22040236258181. The next prime is 22040236258219. The reversal of 22040236258209 is 90285263204022.

The square root of 22040236258209 is 4694703.

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

22040236258209 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 0 + 2 + 3 + 62 + 582 + 0 + 9 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 21905180008209 + 135056250000 = 4680297^2 + 367500^2 .

It is not a de Polignac number, because 22040236258209 - 2¹³ = 22040236250017 is a prime.

It is a super-2 number, since 2×22040236258209² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22040236258219) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 227218930449 + ... + 227218930545.

Almost surely, 2^{22040236258209} is an apocalyptic number.

22040236258209 is the 4694703-rd square number.

22040236258209 is the 2347352-nd centered octagonal number.

It is an amenable number.

22040236258209 is a deficient number, since it is larger than the sum of its proper divisors (15475310383104).

22040236258209 is an equidigital number, since it uses as much as digits as its factorization.

22040236258209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 220402 and 36258209, that added together give a triangular number (36478611 = T₈₅₄₁).

The spelling of 22040236258209 in words is "twenty-two trillion, forty billion, two hundred thirty-six million, two hundred fifty-eight thousand, two hundred nine".