226540400 has 120 divisors (see below), whose sum is σ = 564606720. Its totient is φ = 87310080.

The previous prime is 226540399. The next prime is 226540403. The reversal of 226540400 is 4045622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226540403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2117147 + ... + 2117253.

It is an arithmetic number, because the mean of its divisors is an integer number (4705056).

Almost surely, 2^226540400 is an apocalyptic number.

226540400 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 226540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282303360).

226540400 is an abundant number, since it is smaller than the sum of its proper divisors (338066320).

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

226540400 is a wasteful number, since it uses less digits than its factorization.

226540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 226540400 is about 15051.2590835451. The cubic root of 226540400 is about 609.6050475720.

The spelling of 226540400 in words is "two hundred twenty-six million, five hundred forty thousand, four hundred".