22484880 has 240 divisors, whose sum is σ = 87744384. Its totient is φ = 5099520.

The previous prime is 22484849. The next prime is 22484887. The reversal of 22484880 is 8848422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22484880² = 1011139657228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22484887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134557 + ... + 134723.

Almost surely, 2^22484880 is an apocalyptic number.

22484880 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 22484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

22484880 is an abundant number, since it is smaller than the sum of its proper divisors (65259504).

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

22484880 is a wasteful number, since it uses less digits than its factorization.

22484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 22484880 is about 4741.8224344655. The cubic root of 22484880 is about 282.2475568726.

The spelling of 22484880 in words is "twenty-two million, four hundred eighty-four thousand, eight hundred eighty".