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18673201 = 21618641
BaseRepresentation
bin100011100111…
…0111000110001
31022010200211001
41013032320301
514240020301
61504122001
7314501551
oct107167061
938120731
1018673201
11a5a44a8
126306301
133b3a541
1426a1161
15198cc01
hex11cee31

18673201 has 4 divisors (see below), whose sum is σ = 18684004. Its totient is φ = 18662400.

The previous prime is 18673177. The next prime is 18673211. The reversal of 18673201 is 10237681.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10237681 = 47217823.

It can be written as a sum of positive squares in 2 ways, for example, as 4946176 + 13727025 = 2224^2 + 3705^2 .

It is a 3-Lehmer number, since φ(18673201) divides (18673201-1)3.

It is a cyclic number.

It is not a de Polignac number, because 18673201 - 25 = 18673169 is a prime.

It is a super-3 number, since 3×186732013 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18673201.

It is not an unprimeable number, because it can be changed into a prime (18673211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2160 + ... + 6481.

It is an arithmetic number, because the mean of its divisors is an integer number (4671001).

Almost surely, 218673201 is an apocalyptic number.

18673201 is the 2161-st decagonal number.

It is an amenable number.

18673201 is a deficient number, since it is larger than the sum of its proper divisors (10803).

18673201 is an equidigital number, since it uses as much as digits as its factorization.

18673201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 18673201 is about 4321.2499349147. The cubic root of 18673201 is about 265.3014298751.

The spelling of 18673201 in words is "eighteen million, six hundred seventy-three thousand, two hundred one".

Divisors: 1 2161 8641 18673201