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22313112320 = 285107162917
BaseRepresentation
bin10100110001111101…
…110001001100000000
32010121001001112211102
4110301331301030000
5331144124043240
614130035233532
71416640216412
oct246175611400
963531045742
1022313112320
1195101965a4
1243a87488a8
132147991155
1411195a89b2
158a8d7c815
hex531f71300

22313112320 has 72 divisors (see below), whose sum is σ = 53946711504. Its totient is φ = 8841777152.

The previous prime is 22313112319. The next prime is 22313112359. The reversal of 22313112320 is 2321131322.

It is a super-3 number, since 3×223131123203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22313112292 and 22313112301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55502 + ... + 218418.

It is an arithmetic number, because the mean of its divisors is an integer number (749259882).

Almost surely, 222313112320 is an apocalyptic number.

22313112320 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 22313112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26973355752).

22313112320 is an abundant number, since it is smaller than the sum of its proper divisors (31633599184).

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

22313112320 is a wasteful number, since it uses less digits than its factorization.

22313112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163045 (or 163031 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22313112320 its reverse (2321131322), we get a palindrome (24634243642).

The spelling of 22313112320 in words is "twenty-two billion, three hundred thirteen million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 535 640 856 1070 1280 1712 2140 3424 4280 6848 8560 13696 17120 27392 34240 68480 136960 162917 325834 651668 814585 1303336 1629170 2606672 3258340 5213344 6516680 10426688 13033360 17432119 20853376 26066720 34864238 41706752 52133440 69728476 87160595 104266880 139456952 174321190 208533760 278913904 348642380 557827808 697284760 1115655616 1394569520 2231311232 2789139040 4462622464 5578278080 11156556160 22313112320