226135312 has 80 divisors (see below), whose sum is σ = 489062448. Its totient is φ = 100638720.

The previous prime is 226135307. The next prime is 226135319. The reversal of 226135312 is 213531622.

It can be written as a sum of positive squares in 8 ways, for example, as 414736 + 225720576 = 644^2 + 15024^2 .

It is a super-4 number, since 4×226135312⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (226135319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 804612 + ... + 804892.

Almost surely, 2^226135312 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 226135312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244531224).

226135312 is an abundant number, since it is smaller than the sum of its proper divisors (262927136).

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

226135312 is a wasteful number, since it uses less digits than its factorization.

226135312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 226135312 is about 15037.7961151227. The cubic root of 226135312 is about 609.2414758844.

Adding to 226135312 its reverse (213531622), we get a palindrome (439666934).

It can be divided in two parts, 2261 and 35312, that added together give a palindrome (37573).

The spelling of 226135312 in words is "two hundred twenty-six million, one hundred thirty-five thousand, three hundred twelve".