22029840 has 320 divisors, whose sum is σ = 91422720. Its totient is φ = 4769280.

The previous prime is 22029829. The next prime is 22029853. The reversal of 22029840 is 4892022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 468697 + ... + 468743.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^22029840 is an apocalyptic number.

22029840 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 22029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711360).

22029840 is an abundant number, since it is smaller than the sum of its proper divisors (69392880).

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

22029840 is a wasteful number, since it uses less digits than its factorization.

22029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22029840 is about 4693.5956366095. The cubic root of 22029840 is about 280.3305619730.

The spelling of 22029840 in words is "twenty-two million, twenty-nine thousand, eight hundred forty".