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902200201 = 7297189817
BaseRepresentation
bin110101110001100…
…111101110001001
32022212122112000021
4311301213232021
53321430401301
6225305140441
731233401200
oct6561475611
92285575007
10902200201
114232a5401
1221218a721
13114bb6c96
1487b70237
15543138a1
hex35c67b89

902200201 has 12 divisors (see below), whose sum is σ = 1060323348. Its totient is φ = 765338112.

The previous prime is 902200171. The next prime is 902200213. The reversal of 902200201 is 102002209.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 619960201 + 282240000 = 24899^2 + 16800^2 .

It is not a de Polignac number, because 902200201 - 27 = 902200073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (902200261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90156 + ... + 99661.

It is an arithmetic number, because the mean of its divisors is an integer number (88360279).

Almost surely, 2902200201 is an apocalyptic number.

It is an amenable number.

902200201 is a deficient number, since it is larger than the sum of its proper divisors (158123147).

902200201 is a wasteful number, since it uses less digits than its factorization.

902200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189928 (or 189921 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 902200201 is about 30036.6476325172. The cubic root of 902200201 is about 966.2755112765.

The spelling of 902200201 in words is "nine hundred two million, two hundred thousand, two hundred one".

Divisors: 1 7 49 97 679 4753 189817 1328719 9301033 18412249 128885743 902200201