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2422243344 = 2432310920129
BaseRepresentation
bin1001000001100000…
…1000000000010000
320020210212201012110
42100120020000100
514430043241334
61040205025320
7114011504643
oct22030100020
96223781173
102422243344
111033325304
12577255240
132c7aa61b1
1418d9ada5a
15e29bbae9
hex90608010

2422243344 has 80 divisors (see below), whose sum is σ = 6589756800. Its totient is φ = 765186048.

The previous prime is 2422243337. The next prime is 2422243349. The reversal of 2422243344 is 4433422242.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2422243349) 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, 110272 + ... + 130400.

It is an arithmetic number, because the mean of its divisors is an integer number (82371960).

Almost surely, 22422243344 is an apocalyptic number.

2422243344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294878400).

2422243344 is an abundant number, since it is smaller than the sum of its proper divisors (4167513456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2422243344 is a wasteful number, since it uses less digits than its factorization.

2422243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20272 (or 20266 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2422243344 is about 49216.2914490720. The cubic root of 2422243344 is about 1342.9894171110.

Adding to 2422243344 its reverse (4433422242), we get a palindrome (6855665586).

The spelling of 2422243344 in words is "two billion, four hundred twenty-two million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 109 138 184 218 276 327 368 436 552 654 872 1104 1308 1744 2507 2616 5014 5232 7521 10028 15042 20056 20129 30084 40112 40258 60168 60387 80516 120336 120774 161032 241548 322064 462967 483096 925934 966192 1388901 1851868 2194061 2777802 3703736 4388122 5555604 6582183 7407472 8776244 11111208 13164366 17552488 22222416 26328732 35104976 50463403 52657464 100926806 105314928 151390209 201853612 302780418 403707224 605560836 807414448 1211121672 2422243344