22314880 has 128 divisors (see below), whose sum is σ = 64774080. Its totient is φ = 7176192.

The previous prime is 22314871. The next prime is 22314889. The reversal of 22314880 is 8841322.

It is an interprime number because it is at equal distance from previous prime (22314871) and next prime (22314889).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22314880³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76014 + ... + 76306.

Almost surely, 2^22314880 is an apocalyptic number.

22314880 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 22314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387040).

22314880 is an abundant number, since it is smaller than the sum of its proper divisors (42459200).

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

22314880 is a wasteful number, since it uses less digits than its factorization.

22314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 22314880 is about 4723.8628261202. The cubic root of 22314880 is about 281.5344329096.

The spelling of 22314880 in words is "twenty-two million, three hundred fourteen thousand, eight hundred eighty".