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202401997 = 7217092417
BaseRepresentation
bin11000001000001…
…10100011001101
3112002212002100021
430010012203031
5403303330442
632030102141
75005250200
oct1404064315
9462762307
10202401997
11a4283686
125794a951
1332c186c5
141cc49937
1512b80e67
hexc1068cd

202401997 has 12 divisors (see below), whose sum is σ = 235682460. Its totient is φ = 173314176.

The previous prime is 202401971. The next prime is 202402009. The reversal of 202401997 is 799104202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129709321 + 72692676 = 11389^2 + 8526^2 .

It is not a de Polignac number, because 202401997 - 227 = 68184269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202401497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82533 + ... + 84949.

It is an arithmetic number, because the mean of its divisors is an integer number (19640205).

Almost surely, 2202401997 is an apocalyptic number.

It is an amenable number.

202401997 is a deficient number, since it is larger than the sum of its proper divisors (33280463).

202401997 is a wasteful number, since it uses less digits than its factorization.

202401997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 202401997 is about 14226.8055796092. The cubic root of 202401997 is about 587.1353978582.

The spelling of 202401997 in words is "two hundred two million, four hundred one thousand, nine hundred ninety-seven".

Divisors: 1 7 49 1709 2417 11963 16919 83741 118433 4130653 28914571 202401997