21914800 has 30 divisors (see below), whose sum is σ = 52651268. Its totient is φ = 8765760.

The previous prime is 21914779. The next prime is 21914801. The reversal of 21914800 is 841912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21914801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 26994 + ... + 27793.

Almost surely, 2^21914800 is an apocalyptic number.

21914800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21914800 is an abundant number, since it is smaller than the sum of its proper divisors (30736468).

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

21914800 is a wasteful number, since it uses less digits than its factorization.

21914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54805 (or 54794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 21914800 is about 4681.3245988716. The cubic root of 21914800 is about 279.8417473090.

The spelling of 21914800 in words is "twenty-one million, nine hundred fourteen thousand, eight hundred".