22394880 has 192 divisors, whose sum is σ = 80589600. Its totient is φ = 5971968.

The previous prime is 22394861. The next prime is 22394909. The reversal of 22394880 is 8849322.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)⁴.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-5 number, since 5×22394880⁵ (a number of 38 digits) contains 55555 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 Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 360 × 216 × 288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4478974 + ... + 4478978.

Almost surely, 2^22394880 is an apocalyptic number.

22394880 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 22394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40294800).

22394880 is an abundant number, since it is smaller than the sum of its proper divisors (58194720).

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

22394880 is an frugal number, since it uses more digits than its factorization.

22394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 22394880 is about 4732.3228968446. The cubic root of 22394880 is about 281.8704701642.

The spelling of 22394880 in words is "twenty-two million, three hundred ninety-four thousand, eight hundred eighty".