226469433600 has 864 divisors, whose sum is σ = 871402004480. Its totient is φ = 57480192000.

The previous prime is 226469433563. The next prime is 226469433601. The reversal of 226469433600 is 6334964622.

226469433600 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 9 + 4 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226469433601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358905285 + ... + 358905915.

Almost surely, 2^226469433600 is an apocalyptic number.

226469433600 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 226469433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435701002240).

226469433600 is an abundant number, since it is smaller than the sum of its proper divisors (644932570880).

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

226469433600 is a wasteful number, since it uses less digits than its factorization.

226469433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 226469433600 in words is "two hundred twenty-six billion, four hundred sixty-nine million, four hundred thirty-three thousand, six hundred".