200228505961 has 27 divisors (see below), whose sum is σ = 232387543479. Its totient is φ = 172365058800.

The previous prime is 200228505959. The next prime is 200228505973. The reversal of 200228505961 is 169505822002.

The square root of 200228505961 is 447469.

It is a perfect power (a square), and thus also a powerful number.

200228505961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 190985606361 + 9242899600 = 437019^2 + 96140^2 .

It is not a de Polignac number, because 200228505961 - 2¹ = 200228505959 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (200228505901) 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 26 ways as a sum of consecutive naturals, for example, 93519951 + ... + 93522091.

Almost surely, 2^200228505961 is an apocalyptic number.

200228505961 is the 447469-th square number.

200228505961 is the 223735-th centered octagonal number.

It is an amenable number.

200228505961 is a deficient number, since it is larger than the sum of its proper divisors (32159037518).

200228505961 is an frugal number, since it uses more digits than its factorization.

200228505961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 200228505961 in words is "two hundred billion, two hundred twenty-eight million, five hundred five thousand, nine hundred sixty-one".