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12200417 = 37734517
BaseRepresentation
bin101110100010…
…100111100001
3211221211211022
4232202213201
511110403132
61113255225
7205462505
oct56424741
924854738
1012200417
116983399
124104515
1326b22a8
141898305
15110ee12
hexba29e1

12200417 has 8 divisors (see below), whose sum is σ = 12704616. Its totient is φ = 11705472.

The previous prime is 12200399. The next prime is 12200431. The reversal of 12200417 is 71400221.

12200417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1018081 + 11182336 = 1009^2 + 3344^2 .

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 12200417 - 210 = 12199393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200395 and 12200404.

It is not an unprimeable number, because it can be changed into a prime (12200437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (1588077).

Almost surely, 212200417 is an apocalyptic number.

It is an amenable number.

12200417 is a deficient number, since it is larger than the sum of its proper divisors (504199).

12200417 is an equidigital number, since it uses as much as digits as its factorization.

12200417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 12200417 is about 3492.9095321809. The cubic root of 12200417 is about 230.2103746252.

Adding to 12200417 its reverse (71400221), we get a palindrome (83600638).

The spelling of 12200417 in words is "twelve million, two hundred thousand, four hundred seventeen".

Divisors: 1 37 73 2701 4517 167129 329741 12200417