226838610 has 64 divisors (see below), whose sum is σ = 613474560. Its totient is φ = 59633280.

The previous prime is 226838597. The next prime is 226838611. The reversal of 226838610 is 16838622.

226838610 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 38 + 610 = 666.

It is not an unprimeable number, because it can be changed into a prime (226838611) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13254 + ... + 25086.

It is an arithmetic number, because the mean of its divisors is an integer number (9585540).

Almost surely, 2^226838610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226838610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306737280).

226838610 is an abundant number, since it is smaller than the sum of its proper divisors (386635950).

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

226838610 is a wasteful number, since it uses less digits than its factorization.

226838610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 226838610 is about 15061.1623057452. The cubic root of 226838610 is about 609.8724180013.

The spelling of 226838610 in words is "two hundred twenty-six million, eight hundred thirty-eight thousand, six hundred ten".