226358496 has 192 divisors, whose sum is σ = 812851200. Its totient is φ = 59678208.

The previous prime is 226358477. The next prime is 226358507. The reversal of 226358496 is 694853622.

226358496 is a `hidden beast` number, since 2 + 2 + 63 + 584 + 9 + 6 = 666.

226358496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226358496² = 102476337422764032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77185 + ... + 80063.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^226358496 is an apocalyptic number.

226358496 is a gapful number since it is divisible by the number (26) 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 226358496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

226358496 is an abundant number, since it is smaller than the sum of its proper divisors (586492704).

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

226358496 is a wasteful number, since it uses less digits than its factorization.

226358496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2904 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 226358496 is about 15045.2150532985. The cubic root of 226358496 is about 609.4418400529.

The spelling of 226358496 in words is "two hundred twenty-six million, three hundred fifty-eight thousand, four hundred ninety-six".