226501200 has 180 divisors, whose sum is σ = 832483548. Its totient is φ = 56832000.

The previous prime is 226501189. The next prime is 226501201. The reversal of 226501200 is 2105622.

226501200 is a `hidden beast` number, since 2 + 2 + 650 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 226081296 = 648^2 + 15036^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226501201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59350 + ... + 63050.

Almost surely, 2^226501200 is an apocalyptic number.

226501200 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 226501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416241774).

226501200 is an abundant number, since it is smaller than the sum of its proper divisors (605982348).

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

226501200 is a wasteful number, since it uses less digits than its factorization.

226501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 226501200 is about 15049.9568105693. The cubic root of 226501200 is about 609.5698840186.

Adding to 226501200 its reverse (2105622), we get a palindrome (228606822).

The spelling of 226501200 in words is "two hundred twenty-six million, five hundred one thousand, two hundred".