226666440 has 768 divisors, whose sum is σ = 1075576320. Its totient is φ = 39813120.

The previous prime is 226666439. The next prime is 226666463. The reversal of 226666440 is 44666622.

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

It is a junction number, because it is equal to n+sod(n) for n = 226666395 and 226666404.

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 191 ways as a sum of consecutive naturals, for example, 6126102 + ... + 6126138.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^226666440 is an apocalyptic number.

226666440 is a gapful number since it is divisible by the number (20) 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 226666440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

226666440 is an abundant number, since it is smaller than the sum of its proper divisors (848909880).

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

226666440 is a wasteful number, since it uses less digits than its factorization.

226666440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 226666440 is about 15055.4455264532. The cubic root of 226666440 is about 609.7180816786.

It can be divided in two parts, 226 and 666440, that added together give a palindrome (666666).

The spelling of 226666440 in words is "two hundred twenty-six million, six hundred sixty-six thousand, four hundred forty".