22045920 has 96 divisors (see below), whose sum is σ = 74807712. Its totient is φ = 5425152.

The previous prime is 22045901. The next prime is 22045921. The reversal of 22045920 is 2954022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22045921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4474 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^22045920 is an apocalyptic number.

22045920 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 22045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856).

22045920 is an abundant number, since it is smaller than the sum of its proper divisors (52761792).

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

22045920 is a wasteful number, since it uses less digits than its factorization.

22045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 22045920 is about 4695.3082965871. The cubic root of 22045920 is about 280.3987515911.

Adding to 22045920 its reverse (2954022), we get a palindrome (24999942).

The spelling of 22045920 in words is "twenty-two million, forty-five thousand, nine hundred twenty".