22530240 has 84 divisors (see below), whose sum is σ = 77504544. Its totient is φ = 6007296.

The previous prime is 22530239. The next prime is 22530251. The reversal of 22530240 is 4203522.

It is a super-2 number, since 2×22530240² = 1015223428915200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 1032 + ... + 6791.

Almost surely, 2^22530240 is an apocalyptic number.

22530240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38752272).

22530240 is an abundant number, since it is smaller than the sum of its proper divisors (54974304).

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

22530240 is a wasteful number, since it uses less digits than its factorization.

22530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22530240 is about 4746.6029958276. The cubic root of 22530240 is about 282.4372272880.

Adding to 22530240 its reverse (4203522), we get a palindrome (26733762).

The spelling of 22530240 in words is "twenty-two million, five hundred thirty thousand, two hundred forty".