201829330422225 has 243 divisors, whose sum is σ = 411662719075699. Its totient is φ = 94450455052800.

The previous prime is 201829330422191. The next prime is 201829330422259. The reversal of 201829330422225 is 522224033928102.

The square root of 201829330422225 is 14206665.

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

201829330422225 is a `hidden beast` number, since 2 + 0 + 18 + 2 + 93 + 304 + 22 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (201829330422191) and next prime (201829330422259).

It can be written as a sum of positive squares in 13 ways, for example, as 201512532551121 + 316797871104 = 14195511^2 + 562848^2 .

It is not a de Polignac number, because 201829330422225 - 2¹¹ = 201829330420177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 67978890541 + ... + 67978893509.

Almost surely, 2^{201829330422225} is an apocalyptic number.

201829330422225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201829330422225 is the 14206665-th square number.

201829330422225 is the 7103333-rd centered octagonal number.

It is an amenable number.

201829330422225 is an abundant number, since it is smaller than the sum of its proper divisors (209833388653474).

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

201829330422225 is an equidigital number, since it uses as much as digits as its factorization.

201829330422225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 201829330422225 in words is "two hundred one trillion, eight hundred twenty-nine billion, three hundred thirty million, four hundred twenty-two thousand, two hundred twenty-five".