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2024224112 = 242331191929
BaseRepresentation
bin111100010100111…
…0011010101110000
312020001221020110102
41320221303111300
513121200132422
6532510051532
7101106423011
oct17051632560
95201836412
102024224112
11949692599
12485aa9ba8
132634a9361
14152ba3008
15bca9a192
hex78a73570

2024224112 has 80 divisors (see below), whose sum is σ = 4251156480. Its totient is φ = 930969600.

The previous prime is 2024224087. The next prime is 2024224133. The reversal of 2024224112 is 2114224202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178464 + ... + 2179392.

It is an arithmetic number, because the mean of its divisors is an integer number (53139456).

Almost surely, 22024224112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125578240).

2024224112 is an abundant number, since it is smaller than the sum of its proper divisors (2226932368).

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

2024224112 is a wasteful number, since it uses less digits than its factorization.

2024224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2024224112 is about 44991.3781962722. The cubic root of 2024224112 is about 1264.9873947720.

Adding to 2024224112 its reverse (2114224202), we get a palindrome (4138448314).

The spelling of 2024224112 in words is "two billion, twenty-four million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 191 248 368 382 496 713 764 929 1426 1528 1858 2852 3056 3716 4393 5704 5921 7432 8786 11408 11842 14864 17572 21367 23684 28799 35144 42734 47368 57598 70288 85468 94736 115196 136183 170936 177439 230392 272366 341872 354878 460784 544732 662377 709756 1089464 1324754 1419512 2178928 2649508 2839024 4081097 5299016 5500609 8162194 10598032 11001218 16324388 22002436 32648776 44004872 65297552 88009744 126514007 253028014 506056028 1012112056 2024224112