226610496 has 336 divisors, whose sum is σ = 803046400. Its totient is φ = 60963840.

The previous prime is 226610491. The next prime is 226610497. The reversal of 226610496 is 694016622.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226610496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226610491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6124590 + ... + 6124626.

Almost surely, 2^226610496 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 226610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401523200).

226610496 is an abundant number, since it is smaller than the sum of its proper divisors (576435904).

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

226610496 is a wasteful number, since it uses less digits than its factorization.

226610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226610496 is about 15053.5874794017. The cubic root of 226610496 is about 609.6679156357.

The spelling of 226610496 in words is "two hundred twenty-six million, six hundred ten thousand, four hundred ninety-six".