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220302131 = 7199291783
BaseRepresentation
bin11010010000110…
…00101100110011
3120100112111201012
431020120230303
5422344132011
633505501135
75313352160
oct1510305463
9510474635
10220302131
1110339a285
12619417ab
13368450ba
1421389067
1514519a8b
hexd218b33

220302131 has 16 divisors (see below), whose sum is σ = 265459200. Its totient is φ = 178599168.

The previous prime is 220302127. The next prime is 220302139. The reversal of 220302131 is 131203022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 220302131 - 22 = 220302127 is a prime.

It is a super-2 number, since 2×2203021312 = 97066057846282322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220302139) 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 15 ways as a sum of consecutive naturals, for example, 122666 + ... + 124448.

It is an arithmetic number, because the mean of its divisors is an integer number (16591200).

Almost surely, 2220302131 is an apocalyptic number.

220302131 is a deficient number, since it is larger than the sum of its proper divisors (45157069).

220302131 is a wasteful number, since it uses less digits than its factorization.

220302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 220302131 is about 14842.5783137567. The cubic root of 220302131 is about 603.9572969166.

Adding to 220302131 its reverse (131203022), we get a palindrome (351505153).

The spelling of 220302131 in words is "two hundred twenty million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 7 19 133 929 1783 6503 12481 17651 33877 123557 237139 1656407 11594849 31471733 220302131