226432600 has 72 divisors (see below), whose sum is σ = 541723140. Its totient is φ = 88018560.

The previous prime is 226432579. The next prime is 226432603. The reversal of 226432600 is 6234622.

It is a happy number.

226432600 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226432603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273387 + ... + 274213.

Almost surely, 2^226432600 is an apocalyptic number.

226432600 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 226432600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270861570).

226432600 is an abundant number, since it is smaller than the sum of its proper divisors (315290540).

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

226432600 is a wasteful number, since it uses less digits than its factorization.

226432600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 226432600 is about 15047.6775616704. The cubic root of 226432600 is about 609.5083380366.

The spelling of 226432600 in words is "two hundred twenty-six million, four hundred thirty-two thousand, six hundred".