226945152 has 320 divisors, whose sum is σ = 799761600. Its totient is φ = 62539776.

The previous prime is 226945123. The next prime is 226945171. The reversal of 226945152 is 251549622.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3846499 + ... + 3846557.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 2^226945152 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 226945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399880800).

226945152 is an abundant number, since it is smaller than the sum of its proper divisors (572816448).

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

226945152 is an equidigital number, since it uses as much as digits as its factorization.

226945152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 226945152 is about 15064.6988685470. The cubic root of 226945152 is about 609.9678850781.

The spelling of 226945152 in words is "two hundred twenty-six million, nine hundred forty-five thousand, one hundred fifty-two".