226376225280 has 320 divisors, whose sum is σ = 830054016000. Its totient is φ = 58419118080.

The previous prime is 226376225263. The next prime is 226376225303. The reversal of 226376225280 is 82522673622.

It is a happy number.

226376225280 is a `hidden beast` number, since 2 + 2 + 63 + 7 + 62 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×226376225280² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089896 + ... + 2195544.

It is an arithmetic number, because the mean of its divisors is an integer number (2593918800).

Almost surely, 2^226376225280 is an apocalyptic number.

226376225280 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 226376225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415027008000).

226376225280 is an abundant number, since it is smaller than the sum of its proper divisors (603677790720).

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

226376225280 is a wasteful number, since it uses less digits than its factorization.

226376225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105712 (or 105690 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 226376225280 in words is "two hundred twenty-six billion, three hundred seventy-six million, two hundred twenty-five thousand, two hundred eighty".