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23022102320 = 2457127932143
BaseRepresentation
bin10101011100001110…
…010110011100110000
32012102110010222021022
4111130032112130300
5334122124233240
614324243315012
71443336432560
oct253416263460
965373128238
1023022102320
119844416248
12456607ba68
13222b82a469
141185802da0
158eb2289b5
hex55c396730

23022102320 has 80 divisors (see below), whose sum is σ = 61222748160. Its totient is φ = 7886875392.

The previous prime is 23022102247. The next prime is 23022102329. The reversal of 23022102320 is 2320122032.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23022102329) 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, 700169 + ... + 732311.

It is an arithmetic number, because the mean of its divisors is an integer number (765284352).

Almost surely, 223022102320 is an apocalyptic number.

23022102320 is a gapful number since it is divisible by the number (20) 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 23022102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30611374080).

23022102320 is an abundant number, since it is smaller than the sum of its proper divisors (38200645840).

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

23022102320 is a wasteful number, since it uses less digits than its factorization.

23022102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33442 (or 33436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23022102320 its reverse (2320122032), we get a palindrome (25342224352).

The spelling of 23022102320 in words is "twenty-three billion, twenty-two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1279 2558 5116 6395 8953 10232 12790 17906 20464 25580 32143 35812 44765 51160 64286 71624 89530 102320 128572 143248 160715 179060 225001 257144 321430 358120 450002 514288 642860 716240 900004 1125005 1285720 1800008 2250010 2571440 3600016 4500020 9000040 18000080 41110897 82221794 164443588 205554485 287776279 328887176 411108970 575552558 657774352 822217940 1151105116 1438881395 1644435880 2302210232 2877762790 3288871760 4604420464 5755525580 11511051160 23022102320