22983120 has 120 divisors (see below), whose sum is σ = 78082056. Its totient is φ = 6057984.

The previous prime is 22983071. The next prime is 22983131. The reversal of 22983120 is 2138922.

22983120 = T₄₅₄ + T₄₅₅ + ... + T₆₁₃.

22983120 = 39³ + 40³ + ... + 98³.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 22014864 = 984^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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, 98524 + ... + 98756.

Almost surely, 2^22983120 is an apocalyptic number.

22983120 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 22983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39041028).

22983120 is an abundant number, since it is smaller than the sum of its proper divisors (55098936).

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

22983120 is a wasteful number, since it uses less digits than its factorization.

22983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22983120 is about 4794.0713386432. The cubic root of 22983120 is about 284.3171092560.

The spelling of 22983120 in words is "twenty-two million, nine hundred eighty-three thousand, one hundred twenty".