22029120 has 84 divisors (see below), whose sum is σ = 75780900. Its totient is φ = 5873664.

The previous prime is 22029107. The next prime is 22029121. The reversal of 22029120 is 2192022.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 18249984 = 1944^2 + 4272^2 .

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 = 22029093 and 22029102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22029121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945 + ... + 6704.

Almost surely, 2^22029120 is an apocalyptic number.

22029120 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 22029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37890450).

22029120 is an abundant number, since it is smaller than the sum of its proper divisors (53751780).

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

22029120 is a wasteful number, since it uses less digits than its factorization.

22029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22029120 is about 4693.5189357240. The cubic root of 22029120 is about 280.3275079305.

The spelling of 22029120 in words is "twenty-two million, twenty-nine thousand, one hundred twenty".