20422800 has 240 divisors, whose sum is σ = 76264960. Its totient is φ = 5184000.

The previous prime is 20422783. The next prime is 20422811. The reversal of 20422800 is 822402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334770 + ... + 334830.

Almost surely, 2^20422800 is an apocalyptic number.

20422800 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 20422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132480).

20422800 is an abundant number, since it is smaller than the sum of its proper divisors (55842160).

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

20422800 is a wasteful number, since it uses less digits than its factorization.

20422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20422800 is about 4519.1592138361. The cubic root of 20422800 is about 273.3411987954.

The spelling of 20422800 in words is "twenty million, four hundred twenty-two thousand, eight hundred".