226332288 has 384 divisors, whose sum is σ = 855429120. Its totient is φ = 55738368.

The previous prime is 226332247. The next prime is 226332317. The reversal of 226332288 is 882233622.

226332288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782081 + ... + 1782207.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^226332288 is an apocalyptic number.

226332288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

226332288 is an abundant number, since it is smaller than the sum of its proper divisors (629096832).

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

226332288 is a wasteful number, since it uses less digits than its factorization.

226332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 226332288 is about 15044.3440534973. The cubic root of 226332288 is about 609.4183185616.

The spelling of 226332288 in words is "two hundred twenty-six million, three hundred thirty-two thousand, two hundred eighty-eight".