223226728200 has 768 divisors, whose sum is σ = 912627302400. Its totient is φ = 49075891200.

The previous prime is 223226728157. The next prime is 223226728201. The reversal of 223226728200 is 2827622322.

223226728200 is a `hidden beast` number, since 223 + 226 + 7 + 2 + 8 + 200 = 666.

It is a super-3 number, since 3×223226728200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (223226728201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230844117 + ... + 230845083.

It is an arithmetic number, because the mean of its divisors is an integer number (1188316800).

Almost surely, 2^223226728200 is an apocalyptic number.

223226728200 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 223226728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456313651200).

223226728200 is an abundant number, since it is smaller than the sum of its proper divisors (689400574200).

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

223226728200 is a wasteful number, since it uses less digits than its factorization.

223226728200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 223226728200 in words is "two hundred twenty-three billion, two hundred twenty-six million, seven hundred twenty-eight thousand, two hundred".