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2242312331 = 7477439173
BaseRepresentation
bin1000010110100110…
…1111100010001011
312210021022021020212
42011221233202023
514043012443311
61010300311335
7106365224510
oct20551574213
95707267225
102242312331
11a507aa496
12526b4254b
1329972783c
14173b33307
15d1cc8c8b
hex85a6f88b

2242312331 has 16 divisors (see below), whose sum is σ = 2620975104. Its totient is φ = 1878352224.

The previous prime is 2242312327. The next prime is 2242312333. The reversal of 2242312331 is 1332132422.

2242312331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2242312331 - 22 = 2242312327 is a prime.

It is a super-3 number, since 3×22423123313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2242312297 and 2242312306.

It is not an unprimeable number, because it can be changed into a prime (2242312333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239861 + ... + 249033.

It is an arithmetic number, because the mean of its divisors is an integer number (163810944).

Almost surely, 22242312331 is an apocalyptic number.

2242312331 is a deficient number, since it is larger than the sum of its proper divisors (378662773).

2242312331 is an equidigital number, since it uses as much as digits as its factorization.

2242312331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970.

The product of its digits is 1728, while the sum is 23.

The square root of 2242312331 is about 47353.0604185199. The cubic root of 2242312331 is about 1308.8765947211.

Adding to 2242312331 its reverse (1332132422), we get a palindrome (3574444753).

The spelling of 2242312331 in words is "two billion, two hundred forty-two million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 47 329 743 5201 9173 34921 64211 244447 431131 3017917 6815539 47708773 320330333 2242312331