226003057200 has 600 divisors, whose sum is σ = 847671745536. Its totient is φ = 57599424000.

The previous prime is 226003057199. The next prime is 226003057207. The reversal of 226003057200 is 2750300622.

226003057200 is a `hidden beast` number, since 2 + 2 + 60 + 0 + 30 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×226003057200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226003057207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83363845 + ... + 83366555.

Almost surely, 2^226003057200 is an apocalyptic number.

226003057200 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 226003057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423835872768).

226003057200 is an abundant number, since it is smaller than the sum of its proper divisors (621668688336).

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

226003057200 is a wasteful number, since it uses less digits than its factorization.

226003057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 226003057200 its reverse (2750300622), we get a palindrome (228753357822).

The spelling of 226003057200 in words is "two hundred twenty-six billion, three million, fifty-seven thousand, two hundred".