22538880 has 384 divisors, whose sum is σ = 98017920. Its totient is φ = 4644864.

The previous prime is 22538869. The next prime is 22538917. The reversal of 22538880 is 8883522.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22538880² = 1016002223308800, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524139 + ... + 524181.

It is an arithmetic number, because the mean of its divisors is an integer number (255255).

Almost surely, 2^22538880 is an apocalyptic number.

22538880 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 22538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

22538880 is an abundant number, since it is smaller than the sum of its proper divisors (75479040).

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

22538880 is a wasteful number, since it uses less digits than its factorization.

22538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 22538880 is about 4747.5130331575. The cubic root of 22538880 is about 282.4733261160.

The spelling of 22538880 in words is "twenty-two million, five hundred thirty-eight thousand, eight hundred eighty".