20227200 has 288 divisors, whose sum is σ = 79302960. Its totient is φ = 4515840.

The previous prime is 20227133. The next prime is 20227217. The reversal of 20227200 is 272202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20227200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470379 + ... + 470421.

Almost surely, 2^20227200 is an apocalyptic number.

20227200 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 20227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39651480).

20227200 is an abundant number, since it is smaller than the sum of its proper divisors (59075760).

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

20227200 is a wasteful number, since it uses less digits than its factorization.

20227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20227200 is about 4497.4659531785. The cubic root of 20227200 is about 272.4657533485.

Adding to 20227200 its reverse (272202), we get a palindrome (20499402).

The spelling of 20227200 in words is "twenty million, two hundred twenty-seven thousand, two hundred".