20226400 has 72 divisors (see below), whose sum is σ = 50012424. Its totient is φ = 7987200.

The previous prime is 20226397. The next prime is 20226421. The reversal of 20226400 is 462202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104704 + ... + 104896.

It is an arithmetic number, because the mean of its divisors is an integer number (694617).

Almost surely, 2^20226400 is an apocalyptic number.

20226400 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 20226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25006212).

20226400 is an abundant number, since it is smaller than the sum of its proper divisors (29786024).

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

20226400 is a wasteful number, since it uses less digits than its factorization.

20226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20226400 is about 4497.3770133268. The cubic root of 20226400 is about 272.4621612303.

Adding to 20226400 its reverse (462202), we get a palindrome (20688602).

The spelling of 20226400 in words is "twenty million, two hundred twenty-six thousand, four hundred".