226582936320 has 576 divisors, whose sum is σ = 799379489664. Its totient is φ = 54358179840.

The previous prime is 226582936301. The next prime is 226582936331. The reversal of 226582936320 is 23639285622.

It is a super-3 number, since 3×226582936320³ (a number of 35 digits) contains 333 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 226582936320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353483200 + ... + 353483840.

It is an arithmetic number, because the mean of its divisors is an integer number (1387811614).

Almost surely, 2^226582936320 is an apocalyptic number.

226582936320 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 226582936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399689744832).

226582936320 is an abundant number, since it is smaller than the sum of its proper divisors (572796553344).

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

226582936320 is a wasteful number, since it uses less digits than its factorization.

226582936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 226582936320 in words is "two hundred twenty-six billion, five hundred eighty-two million, nine hundred thirty-six thousand, three hundred twenty".