20225920 has 192 divisors, whose sum is σ = 60477840. Its totient is φ = 6389760.

The previous prime is 20225917. The next prime is 20225923. The reversal of 20225920 is 2952202.

It is an interprime number because it is at equal distance from previous prime (20225917) and next prime (20225923).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20225891 and 20225900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189752 + ... + 1189768.

Almost surely, 2^20225920 is an apocalyptic number.

20225920 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 20225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30238920).

20225920 is an abundant number, since it is smaller than the sum of its proper divisors (40251920).

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

20225920 is a wasteful number, since it uses less digits than its factorization.

20225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 20225920 is about 4497.3236485714. The cubic root of 20225920 is about 272.4600059140.

The spelling of 20225920 in words is "twenty million, two hundred twenty-five thousand, nine hundred twenty".