200314429225 has 9 divisors (see below), whose sum is σ = 248392667173. Its totient is φ = 160249753120.

The previous prime is 200314429201. The next prime is 200314429229. The reversal of 200314429225 is 522924413002.

The square root of 200314429225 is 447565.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15066826009 + 185247603216 = 122747^2 + 430404^2 .

It is a de Polignac number, because none of the positive numbers 2^k-200314429225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200314429229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2193069 + ... + 2282581.

Almost surely, 2^200314429225 is an apocalyptic number.

200314429225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200314429225 is the 447565-th square number.

200314429225 is the 223783-rd centered octagonal number.

It is an amenable number.

200314429225 is a deficient number, since it is larger than the sum of its proper divisors (48078237948).

200314429225 is an frugal number, since it uses more digits than its factorization.

200314429225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179036 (or 89518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 200314429225 in words is "two hundred billion, three hundred fourteen million, four hundred twenty-nine thousand, two hundred twenty-five".