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220516431 = 3101727777
BaseRepresentation
bin11010010010011…
…01000001001111
3120100221101200020
431021031001033
5422423011211
633514233223
75315234022
oct1511150117
9510841606
10220516431
11103526293
1261a25813
13368bb7c5
14214031b9
151455d306
hexd24d04f

220516431 has 8 divisors (see below), whose sum is σ = 296933424. Its totient is φ = 145555200.

The previous prime is 220516421. The next prime is 220516441. The reversal of 220516431 is 134615022.

It is an interprime number because it is at equal distance from previous prime (220516421) and next prime (220516441).

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

It is not a de Polignac number, because 220516431 - 25 = 220516399 is a prime.

It is a super-2 number, since 2×2205164312 = 97254992681955522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220516421) 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 7 ways as a sum of consecutive naturals, for example, 363586 + ... + 364191.

It is an arithmetic number, because the mean of its divisors is an integer number (37116678).

Almost surely, 2220516431 is an apocalyptic number.

220516431 is a deficient number, since it is larger than the sum of its proper divisors (76416993).

220516431 is a wasteful number, since it uses less digits than its factorization.

220516431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727881.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220516431 is about 14849.7956551597. The cubic root of 220516431 is about 604.1530676120.

It can be divided in two parts, 22051 and 6431, that added together give a palindrome (28482).

The spelling of 220516431 in words is "two hundred twenty million, five hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 101 303 727777 2183331 73505477 220516431