226027200 has 378 divisors, whose sum is σ = 891352548. Its totient is φ = 49996800.

The previous prime is 226027181. The next prime is 226027201. The reversal of 226027200 is 2720622.

226027200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (226027201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7291185 + ... + 7291215.

Almost surely, 2^226027200 is an apocalyptic number.

226027200 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 226027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445676274).

226027200 is an abundant number, since it is smaller than the sum of its proper divisors (665325348).

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

226027200 is a wasteful number, since it uses less digits than its factorization.

226027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 226027200 is about 15034.2010096979. The cubic root of 226027200 is about 609.1443705816.

Adding to 226027200 its reverse (2720622), we get a palindrome (228747822).

The spelling of 226027200 in words is "two hundred twenty-six million, twenty-seven thousand, two hundred".