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10224422320 = 2457214931747
BaseRepresentation
bin10011000010110110…
…00100110110110000
3222101120001110200011
421201123010312300
5131414423003240
64410320504304
7511241104300
oct114133046660
928346043604
1010224422320
114377468902
121b9417b094
13c6c345a48
146cdca1600
153ec93d6ea
hex2616c4db0

10224422320 has 120 divisors (see below), whose sum is σ = 27687250224. Its totient is φ = 3501163008.

The previous prime is 10224422317. The next prime is 10224422339. The reversal of 10224422320 is 2322442201.

It is a super-3 number, since 3×102244223203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10224422291 and 10224422300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5851687 + ... + 5853433.

Almost surely, 210224422320 is an apocalyptic number.

10224422320 is a gapful number since it is divisible by the number (10) 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 10224422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843625112).

10224422320 is an abundant number, since it is smaller than the sum of its proper divisors (17462827904).

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

10224422320 is a wasteful number, since it uses less digits than its factorization.

10224422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10224422320 its reverse (2322442201), we get a palindrome (12546864521).

The spelling of 10224422320 in words is "ten billion, two hundred twenty-four million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1493 1747 1960 2986 3494 3920 5972 6988 7465 8735 10451 11944 12229 13976 14930 17470 20902 23888 24458 27952 29860 34940 41804 48916 52255 59720 61145 69880 73157 83608 85603 97832 104510 119440 122290 139760 146314 167216 171206 195664 209020 244580 292628 342412 365785 418040 428015 489160 585256 684824 731570 836080 856030 978320 1170512 1369648 1463140 1712060 2608271 2926280 3424120 5216542 5852560 6848240 10433084 13041355 18257897 20866168 26082710 36515794 41732336 52165420 73031588 91289485 104330840 127805279 146063176 182578970 208661680 255610558 292126352 365157940 511221116 639026395 730315880 1022442232 1278052790 1460631760 2044884464 2556105580 5112211160 10224422320