226788307200 has 1296 divisors, whose sum is σ = 1019450723200. Its totient is φ = 47795650560.

The previous prime is 226788307199. The next prime is 226788307231. The reversal of 226788307200 is 2703887622.

226788307200 is a `hidden beast` number, since 2 + 2 + 67 + 88 + 307 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 256837959 + ... + 256838841.

Almost surely, 2^226788307200 is an apocalyptic number.

226788307200 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 226788307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509725361600).

226788307200 is an abundant number, since it is smaller than the sum of its proper divisors (792662416000).

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

226788307200 is a wasteful number, since it uses less digits than its factorization.

226788307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 226788307200 in words is "two hundred twenty-six billion, seven hundred eighty-eight million, three hundred seven thousand, two hundred".