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24244222112 = 2511224125981
BaseRepresentation
bin10110100101000100…
…010111100010100000
32022120121210002110022
4112211010113202200
5344123010101422
615045421453012
71515536326205
oct264504274240
968517702408
1024244222112
11a31125aa00
124847411168
132394a97b76
14125dc4dcac
1596d683342
hex5a51178a0

24244222112 has 72 divisors (see below), whose sum is σ = 52684169076. Its totient is φ = 10973952000.

The previous prime is 24244222069. The next prime is 24244222141. The reversal of 24244222112 is 21122244242.

It can be written as a sum of positive squares in 2 ways, for example, as 23702449936 + 541772176 = 153956^2 + 23276^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920162 + ... + 946142.

Almost surely, 224244222112 is an apocalyptic number.

24244222112 is a gapful number since it is divisible by the number (22) 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 24244222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26342084538).

24244222112 is an abundant number, since it is smaller than the sum of its proper divisors (28439946964).

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

24244222112 is a wasteful number, since it uses less digits than its factorization.

24244222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26254 (or 26235 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

Adding to 24244222112 its reverse (21122244242), we get a palindrome (45366466354).

The spelling of 24244222112 in words is "twenty-four billion, two hundred forty-four million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 241 242 352 482 484 964 968 1928 1936 2651 3856 3872 5302 7712 10604 21208 25981 29161 42416 51962 58322 84832 103924 116644 207848 233288 285791 415696 466576 571582 831392 933152 1143164 2286328 3143701 4572656 6261421 6287402 9145312 12522842 12574804 25045684 25149608 50091368 50299216 68875631 100182736 100598432 137751262 200365472 275502524 551005048 757631941 1102010096 1515263882 2204020192 3030527764 6061055528 12122111056 24244222112