226418000 has 40 divisors (see below), whose sum is σ = 547483560. Its totient is φ = 90566400.

The previous prime is 226417979. The next prime is 226418033. The reversal of 226418000 is 814622.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 225961024 = 676^2 + 15032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×226418000² = 102530221448000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54605 + ... + 58604.

It is an arithmetic number, because the mean of its divisors is an integer number (13687089).

Almost surely, 2^226418000 is an apocalyptic number.

226418000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226418000 is an abundant number, since it is smaller than the sum of its proper divisors (321065560).

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

226418000 is a wasteful number, since it uses less digits than its factorization.

226418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113232 (or 113216 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 226418000 is about 15047.1924291544. The cubic root of 226418000 is about 609.4952377248.

The spelling of 226418000 in words is "two hundred twenty-six million, four hundred eighteen thousand".