21822264 has 64 divisors (see below), whose sum is σ = 62592000. Its totient is φ = 7037280.

The previous prime is 21822223. The next prime is 21822287. The reversal of 21822264 is 46222812.

It is a happy number.

It is a super-2 number, since 2×21822264² = 952422412171392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 5067 + ... + 8325.

It is an arithmetic number, because the mean of its divisors is an integer number (978000).

Almost surely, 2^21822264 is an apocalyptic number.

21822264 is a gapful number since it is divisible by the number (24) 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 21822264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31296000).

21822264 is an abundant number, since it is smaller than the sum of its proper divisors (40769736).

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

21822264 is a wasteful number, since it uses less digits than its factorization.

21822264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3295 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 21822264 is about 4671.4306159891. The cubic root of 21822264 is about 279.4473111320.

The spelling of 21822264 in words is "twenty-one million, eight hundred twenty-two thousand, two hundred sixty-four".