Search a number
-
+
22343243232 = 2534127120947
BaseRepresentation
bin10100110011110000…
…101101010111100000
32010200010202100200010
4110303300231113200
5331224332240412
614133033124520
71420454301552
oct246360552740
963603670603
1022343243232
1195261a6382
1243b6859740
132150cb08ab
14111d5ad4d2
158ab83033c
hex533c2d5e0

22343243232 has 96 divisors (see below), whose sum is σ = 60306107904. Its totient is φ = 7238937600.

The previous prime is 22343243203. The next prime is 22343243233. The reversal of 22343243232 is 23234234322.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22343243232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22343243233) 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 15 ways as a sum of consecutive naturals, for example, 1056183 + ... + 1077129.

It is an arithmetic number, because the mean of its divisors is an integer number (628188624).

Almost surely, 222343243232 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 22343243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30153053952).

22343243232 is an abundant number, since it is smaller than the sum of its proper divisors (37962864672).

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

22343243232 is a wasteful number, since it uses less digits than its factorization.

22343243232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 21264 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

Adding to 22343243232 its reverse (23234234322), we get a palindrome (45577477554).

The spelling of 22343243232 in words is "twenty-two billion, three hundred forty-three million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 271 328 492 542 656 813 984 1084 1312 1626 1968 2168 3252 3936 4336 6504 8672 11111 13008 20947 22222 26016 33333 41894 44444 62841 66666 83788 88888 125682 133332 167576 177776 251364 266664 335152 355552 502728 533328 670304 858827 1005456 1066656 1717654 2010912 2576481 3435308 5152962 5676637 6870616 10305924 11353274 13741232 17029911 20611848 22706548 27482464 34059822 41223696 45413096 68119644 82447392 90826192 136239288 181652384 232742117 272478576 465484234 544957152 698226351 930968468 1396452702 1861936936 2792905404 3723873872 5585810808 7447747744 11171621616 22343243232