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22324112424 = 2332310057117
BaseRepresentation
bin10100110010100111…
…101110110000101000
32010121210202102010200
4110302213232300220
5331204433044144
614131111112200
71420132552605
oct246247566050
963553672120
1022324112424
11951641a099
1243b0372660
13214a042ca3
14111ac2d6ac
158a9d01c69
hex5329eec28

22324112424 has 24 divisors (see below), whose sum is σ = 60461138010. Its totient is φ = 7441370784.

The previous prime is 22324112423. The next prime is 22324112471. The reversal of 22324112424 is 42421142322.

It is a happy number.

22324112424 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 411 + 242 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17349631524 + 4974480900 = 131718^2 + 70530^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×223241124243 (a number of 32 digits) contains 333 as substring.

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 (22324112423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155028487 + ... + 155028630.

Almost surely, 222324112424 is an apocalyptic number.

22324112424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22324112424 is an abundant number, since it is smaller than the sum of its proper divisors (38137025586).

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

22324112424 is a wasteful number, since it uses less digits than its factorization.

22324112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310057129 (or 310057122 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22324112424 its reverse (42421142322), we get a palindrome (64745254746).

The spelling of 22324112424 in words is "twenty-two billion, three hundred twenty-four million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 310057117 620114234 930171351 1240228468 1860342702 2480456936 2790514053 3720685404 5581028106 7441370808 11162056212 22324112424