226066400 has 216 divisors, whose sum is σ = 659020320. Its totient is φ = 75479040.

The previous prime is 226066387. The next prime is 226066417. The reversal of 226066400 is 4660622.

226066400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×226066400² = 102212034417920000, 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 226066400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2861561 + ... + 2861639.

It is an arithmetic number, because the mean of its divisors is an integer number (3051020).

Almost surely, 2^226066400 is an apocalyptic number.

226066400 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 226066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329510160).

226066400 is an abundant number, since it is smaller than the sum of its proper divisors (432953920).

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

226066400 is a wasteful number, since it uses less digits than its factorization.

226066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 226066400 is about 15035.5046473339. The cubic root of 226066400 is about 609.1795832744.

The spelling of 226066400 in words is "two hundred twenty-six million, sixty-six thousand, four hundred".