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2242240313 = 17253146389
BaseRepresentation
bin1000010110100101…
…1101111100111001
312210021011121110112
42011221131330321
514043003142223
61010254554105
7106364504525
oct20551357471
95707147415
102242240313
11a50760375
12526b08935
13299700b21
14173b14d85
15d1cb2778
hex85a5df39

2242240313 has 12 divisors (see below), whose sum is σ = 2426853420. Its totient is φ = 2070511872.

The previous prime is 2242240309. The next prime is 2242240387. The reversal of 2242240313 is 3130422422.

It can be written as a sum of positive squares in 6 ways, for example, as 410143504 + 1832096809 = 20252^2 + 42803^2 .

It is not a de Polignac number, because 2242240313 - 22 = 2242240309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2242240303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57878 + ... + 88511.

It is an arithmetic number, because the mean of its divisors is an integer number (202237785).

Almost surely, 22242240313 is an apocalyptic number.

It is an amenable number.

2242240313 is a deficient number, since it is larger than the sum of its proper divisors (184613107).

2242240313 is a wasteful number, since it uses less digits than its factorization.

2242240313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146476 (or 146459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2242240313 is about 47352.2999758195. The cubic root of 2242240313 is about 1308.8625818526.

Adding to 2242240313 its reverse (3130422422), we get a palindrome (5372662735).

The spelling of 2242240313 in words is "two billion, two hundred forty-two million, two hundred forty thousand, three hundred thirteen".

Divisors: 1 17 53 289 901 15317 146389 2488613 7758617 42306421 131896489 2242240313