226933425600 has 1008 divisors, whose sum is σ = 899840594016. Its totient is φ = 49889280000.

The previous prime is 226933425583. The next prime is 226933425611. The reversal of 226933425600 is 6524339622.

226933425600 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 973963084 + ... + 973963316.

It is an arithmetic number, because the mean of its divisors is an integer number (892699002).

Almost surely, 2^226933425600 is an apocalyptic number.

226933425600 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 226933425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449920297008).

226933425600 is an abundant number, since it is smaller than the sum of its proper divisors (672907168416).

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

226933425600 is a wasteful number, since it uses less digits than its factorization.

226933425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 226933425600 in words is "two hundred twenty-six billion, nine hundred thirty-three million, four hundred twenty-five thousand, six hundred".