226741200 has 120 divisors (see below), whose sum is σ = 830119488. Its totient is φ = 51824640.

The previous prime is 226741181. The next prime is 226741201. The reversal of 226741200 is 2147622.

226741200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226741201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5097 + ... + 21896.

Almost surely, 2^226741200 is an apocalyptic number.

226741200 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 226741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415059744).

226741200 is an abundant number, since it is smaller than the sum of its proper divisors (603378288).

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

226741200 is a wasteful number, since it uses less digits than its factorization.

226741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27021 (or 27010 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 226741200 is about 15057.9281443365. The cubic root of 226741200 is about 609.7851075004.

Adding to 226741200 its reverse (2147622), we get a palindrome (228888822).

The spelling of 226741200 in words is "two hundred twenty-six million, seven hundred forty-one thousand, two hundred".