226307952 has 160 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 68352768.

The previous prime is 226307929. The next prime is 226307989. The reversal of 226307952 is 259703622.

226307952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 331003 + ... + 331685.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^226307952 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 226307952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

226307952 is an abundant number, since it is smaller than the sum of its proper divisors (486146448).

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

226307952 is a wasteful number, since it uses less digits than its factorization.

226307952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 226307952 is about 15043.5352228125. The cubic root of 226307952 is about 609.3964755508.

The spelling of 226307952 in words is "two hundred twenty-six million, three hundred seven thousand, nine hundred fifty-two".