226676352 has 128 divisors (see below), whose sum is σ = 702576000. Its totient is φ = 64727040.

The previous prime is 226676321. The next prime is 226676357. The reversal of 226676352 is 253676622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 226676352.

It is not an unprimeable number, because it can be changed into a prime (226676357) 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 15 ways as a sum of consecutive naturals, for example, 130852 + ... + 132572.

It is an arithmetic number, because the mean of its divisors is an integer number (5488875).

Almost surely, 2^226676352 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 226676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351288000).

226676352 is an abundant number, since it is smaller than the sum of its proper divisors (475899648).

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

226676352 is an equidigital number, since it uses as much as digits as its factorization.

226676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1733 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 226676352 is about 15055.7747060721. The cubic root of 226676352 is about 609.7269690956.

The spelling of 226676352 in words is "two hundred twenty-six million, six hundred seventy-six thousand, three hundred fifty-two".