22053920 has 144 divisors (see below), whose sum is σ = 63345240. Its totient is φ = 7225344.

The previous prime is 22053881. The next prime is 22053923. The reversal of 22053920 is 2935022.

22053920 = 428² + 429² + ... + 524².

It can be written as a sum of positive squares in 4 ways, for example, as 17405584 + 4648336 = 4172^2 + 2156^2 .

It is not an unprimeable number, because it can be changed into a prime (22053923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227312 + ... + 227408.

Almost surely, 2^22053920 is an apocalyptic number.

22053920 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 22053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31672620).

22053920 is an abundant number, since it is smaller than the sum of its proper divisors (41291320).

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

22053920 is a wasteful number, since it uses less digits than its factorization.

22053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 22053920 is about 4696.1601335559. The cubic root of 22053920 is about 280.4326644229.

Adding to 22053920 its reverse (2935022), we get a palindrome (24988942).

It can be divided in two parts, 2205 and 3920, that multiplied together give a square (8643600 = 2940²).

The spelling of 22053920 in words is "twenty-two million, fifty-three thousand, nine hundred twenty".