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220231431 = 3272499391
BaseRepresentation
bin11010010000001…
…11011100000111
3120100101220201200
431020013130013
5422334401211
633504153543
75312636100
oct1510073407
9510356650
10220231431
11103351152
12619088b3
133681bb74
142136b3a7
1514503b56
hexd207707

220231431 has 18 divisors (see below), whose sum is σ = 370049472. Its totient is φ = 125846280.

The previous prime is 220231393. The next prime is 220231441. The reversal of 220231431 is 134132022.

220231431 is a `hidden beast` number, since 2 + 2 + 0 + 231 + 431 = 666.

It is not a de Polignac number, because 220231431 - 213 = 220223239 is a prime.

It is a super-2 number, since 2×2202314312 = 97003766400615522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220231441) 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 17 ways as a sum of consecutive naturals, for example, 249255 + ... + 250136.

It is an arithmetic number, because the mean of its divisors is an integer number (20558304).

Almost surely, 2220231431 is an apocalyptic number.

220231431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220231431 is a deficient number, since it is larger than the sum of its proper divisors (149818041).

220231431 is a wasteful number, since it uses less digits than its factorization.

220231431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499411 (or 499401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220231431 is about 14840.1964609637. The cubic root of 220231431 is about 603.8926820938.

Adding to 220231431 its reverse (134132022), we get a palindrome (354363453).

It can be divided in two parts, 2202 and 31431, that added together give a palindrome (33633).

The spelling of 220231431 in words is "two hundred twenty million, two hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 499391 1498173 3495737 4494519 10487211 24470159 31461633 73410477 220231431