226836288 has 420 divisors, whose sum is σ = 840882240. Its totient is φ = 60092928.

The previous prime is 226836271. The next prime is 226836299. The reversal of 226836288 is 882638622.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4826281 + ... + 4826327.

Almost surely, 2^226836288 is an apocalyptic number.

226836288 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 226836288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441120).

226836288 is an abundant number, since it is smaller than the sum of its proper divisors (614045952).

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

226836288 is a wasteful number, since it uses less digits than its factorization.

226836288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 226836288 is about 15061.0852198638. The cubic root of 226836288 is about 609.8703370378.

It can be divided in two parts, 2268 and 36288, that multiplied together give a square (82301184 = 9072²).

The spelling of 226836288 in words is "two hundred twenty-six million, eight hundred thirty-six thousand, two hundred eighty-eight".