226384400 has 120 divisors (see below), whose sum is σ = 619406784. Its totient is φ = 78707200.

The previous prime is 226384397. The next prime is 226384429. The reversal of 226384400 is 4483622.

226384400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100082 + ... + 102318.

Almost surely, 2^226384400 is an apocalyptic number.

226384400 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 226384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309703392).

226384400 is an abundant number, since it is smaller than the sum of its proper divisors (393022384).

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

226384400 is a wasteful number, since it uses less digits than its factorization.

226384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 226384400 is about 15046.0759003801. The cubic root of 226384400 is about 609.4650869224.

The spelling of 226384400 in words is "two hundred twenty-six million, three hundred eighty-four thousand, four hundred".