226306962 has 96 divisors (see below), whose sum is σ = 583075584. Its totient is φ = 62092800.

The previous prime is 226306961. The next prime is 226306987. The reversal of 226306962 is 269603622.

226306962 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226306961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366478 + ... + 367094.

It is an arithmetic number, because the mean of its divisors is an integer number (6073704).

Almost surely, 2^226306962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226306962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291537792).

226306962 is an abundant number, since it is smaller than the sum of its proper divisors (356768622).

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

226306962 is a wasteful number, since it uses less digits than its factorization.

226306962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 226306962 is about 15043.5023182768. The cubic root of 226306962 is about 609.3955869337.

It can be divided in two parts, 22630 and 6962, that added together give a palindrome (29592).

The spelling of 226306962 in words is "two hundred twenty-six million, three hundred six thousand, nine hundred sixty-two".