22533126 has 128 divisors (see below), whose sum is σ = 63037440. Its totient is φ = 5184000.

The previous prime is 22533113. The next prime is 22533131. The reversal of 22533126 is 62133522.

22533126 is a nontrivial binomial coefficient, being equal to C(154, 4).

It is a junction number, because it is equal to n+sod(n) for n = 22533096 and 22533105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149151 + ... + 149301.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 2^22533126 is an apocalyptic number.

22533126 is the 3876-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22533126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518720).

22533126 is an abundant number, since it is smaller than the sum of its proper divisors (40504314).

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

22533126 is a wasteful number, since it uses less digits than its factorization.

22533126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its digits is 2160, while the sum is 24.

The square root of 22533126 is about 4746.9069929797. The cubic root of 22533126 is about 282.4492863256.

Adding to 22533126 its reverse (62133522), we get a palindrome (84666648).

The spelling of 22533126 in words is "twenty-two million, five hundred thirty-three thousand, one hundred twenty-six".