22400133 has 32 divisors (see below), whose sum is σ = 35487744. Its totient is φ = 12301632.

The previous prime is 22400111. The next prime is 22400149. The reversal of 22400133 is 33100422.

It is not a de Polignac number, because 22400133 - 2¹⁰ = 22399109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98566 + ... + 98792.

It is an arithmetic number, because the mean of its divisors is an integer number (1108992).

Almost surely, 2^22400133 is an apocalyptic number.

It is an amenable number.

22400133 is a deficient number, since it is larger than the sum of its proper divisors (13087611).

22400133 is a wasteful number, since it uses less digits than its factorization.

22400133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22400133 is about 4732.8778771483. The cubic root of 22400133 is about 281.8925071926.

Adding to 22400133 its reverse (33100422), we get a palindrome (55500555).

The spelling of 22400133 in words is "twenty-two million, four hundred thousand, one hundred thirty-three".