22405020 has 96 divisors (see below), whose sum is σ = 69431040. Its totient is φ = 5352960.

The previous prime is 22404989. The next prime is 22405027. The reversal of 22405020 is 2050422.

It is a super-4 number, since 4×22405020⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22405027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54576 + ... + 54984.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^22405020 is an apocalyptic number.

22405020 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 22405020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34715520).

22405020 is an abundant number, since it is smaller than the sum of its proper divisors (47026020).

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

22405020 is a wasteful number, since it uses less digits than its factorization.

22405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 22405020 is about 4733.3941310649. The cubic root of 22405020 is about 281.9130057095.

Adding to 22405020 its reverse (2050422), we get a palindrome (24455442).

It can be divided in two parts, 2240 and 5020, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 22405020 in words is "twenty-two million, four hundred five thousand, twenty".