226245600 has 324 divisors, whose sum is σ = 925581384. Its totient is φ = 50941440.

The previous prime is 226245599. The next prime is 226245611. The reversal of 226245600 is 6542622.

226245600 is digitally balanced in base 3, 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 53 ways as a sum of consecutive naturals, for example, 3376767 + ... + 3376833.

Almost surely, 2^226245600 is an apocalyptic number.

226245600 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 226245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462790692).

226245600 is an abundant number, since it is smaller than the sum of its proper divisors (699335784).

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

226245600 is a wasteful number, since it uses less digits than its factorization.

226245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226245600 is about 15041.4626948312. The cubic root of 226245600 is about 609.3405037672.

It can be divided in two parts, 22624 and 5600, that added together give a square (28224 = 168²).

The spelling of 226245600 in words is "two hundred twenty-six million, two hundred forty-five thousand, six hundred".