22264020 has 72 divisors (see below), whose sum is σ = 68009760. Its totient is φ = 5895360.

The previous prime is 22264019. The next prime is 22264031. The reversal of 22264020 is 2046222.

It is a happy number.

22264020 is a `hidden beast` number, since 2 + 2 + 2 + 640 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22263984 and 22264002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31875 + ... + 32565.

It is an arithmetic number, because the mean of its divisors is an integer number (944580).

Almost surely, 2^22264020 is an apocalyptic number.

22264020 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 22264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34004880).

22264020 is an abundant number, since it is smaller than the sum of its proper divisors (45745740).

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

22264020 is a wasteful number, since it uses less digits than its factorization.

22264020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22264020 is about 4718.4764490246. The cubic root of 22264020 is about 281.3203794240.

The spelling of 22264020 in words is "twenty-two million, two hundred sixty-four thousand, twenty".