226981000 has 64 divisors (see below), whose sum is σ = 539987760. Its totient is φ = 89304000.

The previous prime is 226980937. The next prime is 226981003. The reversal of 226981000 is 189622.

It is a happy number.

The cubic root of 226981000 is 610.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 183710916 + 43270084 = 13554^2 + 6578^2 .

It is a super-2 number, since 2×226981000² = 103040748722000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226981000.

It is not an unprimeable number, because it can be changed into a prime (226981003) 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, 3720970 + ... + 3721030.

Almost surely, 2^226981000 is an apocalyptic number.

226981000 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 226981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269993880).

226981000 is an abundant number, since it is smaller than the sum of its proper divisors (313006760).

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

226981000 is an frugal number, since it uses more digits than its factorization.

226981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 226981000 is about 15065.8886229787. Note that the first 3 decimals coincide.

Multiplying 226981000 by its product of nonzero digits (1728), we get a cube (392223168000 = 7320³).

The spelling of 226981000 in words is "two hundred twenty-six million, nine hundred eighty-one thousand".