226310000 has 200 divisors, whose sum is σ = 648467424. Its totient is φ = 74880000.

The previous prime is 226309981. The next prime is 226310009. The reversal of 226310000 is 13622.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×226310000² = 102432432200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226310009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3709970 + ... + 3710030.

Almost surely, 2^226310000 is an apocalyptic number.

226310000 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 226310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324233712).

226310000 is an abundant number, since it is smaller than the sum of its proper divisors (422157424).

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

226310000 is an equidigital number, since it uses as much as digits as its factorization.

226310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 226310000 is about 15043.6032917649. The cubic root of 226310000 is about 609.3983138133.

Adding to 226310000 its reverse (13622), we get a palindrome (226323622).

The spelling of 226310000 in words is "two hundred twenty-six million, three hundred ten thousand".