226333887600 has 240 divisors, whose sum is σ = 742565222784. Its totient is φ = 58910592000.

The previous prime is 226333887599. The next prime is 226333887613. The reversal of 226333887600 is 6788333622.

226333887600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×226333887600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 226333887600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9577399 + ... + 9601001.

Almost surely, 2^226333887600 is an apocalyptic number.

226333887600 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 226333887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371282611392).

226333887600 is an abundant number, since it is smaller than the sum of its proper divisors (516231335184).

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

226333887600 is a wasteful number, since it uses less digits than its factorization.

226333887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23816 (or 23805 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 226333887600 in words is "two hundred twenty-six billion, three hundred thirty-three million, eight hundred eighty-seven thousand, six hundred".