22820120 has 64 divisors (see below), whose sum is σ = 55896480. Its totient is φ = 8349696.

The previous prime is 22820113. The next prime is 22820141. The reversal of 22820120 is 2102822.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24707 + ... + 25613.

Almost surely, 2^22820120 is an apocalyptic number.

22820120 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 22820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27948240).

22820120 is an abundant number, since it is smaller than the sum of its proper divisors (33076360).

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

22820120 is a wasteful number, since it uses less digits than its factorization.

22820120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 22820120 is about 4777.0409250916. The cubic root of 22820120 is about 283.6433730312.

Adding to 22820120 its reverse (2102822), we get a palindrome (24922942).

The spelling of 22820120 in words is "twenty-two million, eight hundred twenty thousand, one hundred twenty".