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2099201 = 131131429
BaseRepresentation
bin1000000000100000000001
310221122120012
420000200001
51014133301
6112554305
723562056
oct10004001
93848505
102099201
111204185
12852995
13586640
143c902d
152b6ebb
hex200801

2099201 has 8 divisors (see below), whose sum is σ = 2282280. Its totient is φ = 1919232.

The previous prime is 2099197. The next prime is 2099203. The reversal of 2099201 is 1029902.

2099201 = 10242 + 10252.

It can be written as a sum of positive squares in 4 ways, for example, as 303601 + 1795600 = 551^2 + 1340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2099201 - 22 = 2099197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2099203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (285285).

It is a Proth number, since it is equal to 1025 ⋅ 211 + 1 and 1025 < 211.

22099201 is an apocalyptic number.

2099201 is the 1025-th centered square number.

It is an amenable number.

2099201 is a deficient number, since it is larger than the sum of its proper divisors (183079).

2099201 is a wasteful number, since it uses less digits than its factorization.

2099201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 2099201 is about 1448.8619672005. The cubic root of 2099201 is about 128.0416734425.

The spelling of 2099201 in words is "two million, ninety-nine thousand, two hundred one".

Divisors: 1 13 113 1429 1469 18577 161477 2099201