200470228000 has 384 divisors, whose sum is σ = 577867530240. Its totient is φ = 66923596800.

The previous prime is 200470227977. The next prime is 200470228003. The reversal of 200470228000 is 822074002.

200470228000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (200470228003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456651781 + ... + 456652219.

It is an arithmetic number, because the mean of its divisors is an integer number (1504863360).

Almost surely, 2^200470228000 is an apocalyptic number.

200470228000 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 200470228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288933765120).

200470228000 is an abundant number, since it is smaller than the sum of its proper divisors (377397302240).

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

200470228000 is a wasteful number, since it uses less digits than its factorization.

200470228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 200470228000 in words is "two hundred billion, four hundred seventy million, two hundred twenty-eight thousand".