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2213431 = 11316491
BaseRepresentation
bin1000011100011000110111
311011110020221
420130120313
51031312211
6115235211
724546103
oct10343067
94143227
102213431
111281a90
128a8b07
135c662c
14418903
152dac71
hex21c637

2213431 has 8 divisors (see below), whose sum is σ = 2492928. Its totient is φ = 1947000.

The previous prime is 2213423. The next prime is 2213441. The reversal of 2213431 is 1343122.

It is a happy number.

2213431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2213431 - 23 = 2213423 is a prime.

It is a super-3 number, since 3×22134313 = 32532633385393025973, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213401) 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 7 ways as a sum of consecutive naturals, for example, 2905 + ... + 3586.

It is an arithmetic number, because the mean of its divisors is an integer number (311616).

22213431 is an apocalyptic number.

2213431 is a deficient number, since it is larger than the sum of its proper divisors (279497).

2213431 is a wasteful number, since it uses less digits than its factorization.

2213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533.

The product of its digits is 144, while the sum is 16.

The square root of 2213431 is about 1487.7603973759. The cubic root of 2213431 is about 130.3232782598.

Adding to 2213431 its reverse (1343122), we get a palindrome (3556553).

The spelling of 2213431 in words is "two million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 11 31 341 6491 71401 201221 2213431