22260820 has 48 divisors (see below), whose sum is σ = 49886928. Its totient is φ = 8314880.

The previous prime is 22260811. The next prime is 22260853. The reversal of 22260820 is 2806222.

It can be written as a sum of positive squares in 8 ways, for example, as 1296 + 22259524 = 36^2 + 4718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22260791 and 22260800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79080 + ... + 79360.

It is an arithmetic number, because the mean of its divisors is an integer number (1039311).

Almost surely, 2^22260820 is an apocalyptic number.

22260820 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 22260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24943464).

22260820 is an abundant number, since it is smaller than the sum of its proper divisors (27626108).

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

22260820 is a wasteful number, since it uses less digits than its factorization.

22260820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22260820 is about 4718.1373443341. The cubic root of 22260820 is about 281.3069007508.

The spelling of 22260820 in words is "twenty-two million, two hundred sixty thousand, eight hundred twenty".