226456550320 has 320 divisors, whose sum is σ = 708254668800. Its totient is φ = 65031782400.

The previous prime is 226456550311. The next prime is 226456550321. The reversal of 226456550320 is 23055654622.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (226456550321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47965560 + ... + 47970280.

It is an arithmetic number, because the mean of its divisors is an integer number (2213295840).

Almost surely, 2^226456550320 is an apocalyptic number.

226456550320 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 226456550320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354127334400).

226456550320 is an abundant number, since it is smaller than the sum of its proper divisors (481798118480).

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

226456550320 is a wasteful number, since it uses less digits than its factorization.

226456550320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 226456550320 in words is "two hundred twenty-six billion, four hundred fifty-six million, five hundred fifty thousand, three hundred twenty".