226301400 has 288 divisors, whose sum is σ = 863226000. Its totient is φ = 52669440.

The previous prime is 226301377. The next prime is 226301401. The reversal of 226301400 is 4103622.

It is a happy number.

226301400 is a `hidden beast` number, since 2 + 263 + 0 + 1 + 400 = 666.

226301400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226301401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 444346 + ... + 444854.

Almost surely, 2^226301400 is an apocalyptic number.

226301400 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 226301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431613000).

226301400 is an abundant number, since it is smaller than the sum of its proper divisors (636924600).

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

226301400 is a wasteful number, since it uses less digits than its factorization.

226301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 226301400 is about 15043.3174532747. The cubic root of 226301400 is about 609.3905944727.

The spelling of 226301400 in words is "two hundred twenty-six million, three hundred one thousand, four hundred".