226267300 has 108 divisors (see below), whose sum is σ = 581293524. Its totient is φ = 76204800.

The previous prime is 226267291. The next prime is 226267337. The reversal of 226267300 is 3762622.

226267300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31832164 + 194435136 = 5642^2 + 13944^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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 35 ways as a sum of consecutive naturals, for example, 298522 + ... + 299278.

Almost surely, 2^226267300 is an apocalyptic number.

226267300 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 226267300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290646762).

226267300 is an abundant number, since it is smaller than the sum of its proper divisors (355026224).

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

226267300 is a wasteful number, since it uses less digits than its factorization.

226267300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 226267300 is about 15042.1840169571. The cubic root of 226267300 is about 609.3599844645.

The spelling of 226267300 in words is "two hundred twenty-six million, two hundred sixty-seven thousand, three hundred".