22859820 has 120 divisors (see below), whose sum is σ = 72936864. Its totient is φ = 5992704.

The previous prime is 22859819. The next prime is 22859827. The reversal of 22859820 is 2895822.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22859827) 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 39 ways as a sum of consecutive naturals, for example, 166792 + ... + 166928.

Almost surely, 2^22859820 is an apocalyptic number.

22859820 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 22859820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36468432).

22859820 is an abundant number, since it is smaller than the sum of its proper divisors (50077044).

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

22859820 is a wasteful number, since it uses less digits than its factorization.

22859820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 22859820 is about 4781.1944114416. The cubic root of 22859820 is about 283.8077618570.

The spelling of 22859820 in words is "twenty-two million, eight hundred fifty-nine thousand, eight hundred twenty".