226968096 has 96 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 73764864.

The previous prime is 226968089. The next prime is 226968097. The reversal of 226968096 is 690869622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (226968097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973996 + ... + 974228.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2^226968096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

226968096 is an abundant number, since it is smaller than the sum of its proper divisors (383940384).

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

226968096 is a wasteful number, since it uses less digits than its factorization.

226968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 226968096 is about 15065.4603646885. The cubic root of 226968096 is about 609.9884401643.

The spelling of 226968096 in words is "two hundred twenty-six million, nine hundred sixty-eight thousand, ninety-six".