22005252 has 18 divisors (see below), whose sum is σ = 55624478. Its totient is φ = 7335072.

The previous prime is 22005241. The next prime is 22005271. The reversal of 22005252 is 25250022.

It can be written as a sum of positive squares in only one way, i.e., 21958596 + 46656 = 4686^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×22005252² = 968462231167008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305593 + ... + 305664.

Almost surely, 2^22005252 is an apocalyptic number.

It is an amenable number.

22005252 is an abundant number, since it is smaller than the sum of its proper divisors (33619226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22005252 is a wasteful number, since it uses less digits than its factorization.

22005252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611267 (or 611262 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22005252 is about 4690.9755914948. The cubic root of 22005252 is about 280.2262287317.

Adding to 22005252 its reverse (25250022), we get a palindrome (47255274).

The spelling of 22005252 in words is "twenty-two million, five thousand, two hundred fifty-two".