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10223117740 = 22511234214799
BaseRepresentation
bin10011000010101100…
…00110010110101100
3222101110121012010101
421201112012112230
5131414104231430
64410232520444
7511224031663
oct114126062654
928343535111
1010223117740
114376757740
121b93850124
13c6bca9cc4
146cda41dda
153ec781dca
hex2615865ac

10223117740 has 96 divisors (see below), whose sum is σ = 24501657600. Its totient is φ = 3546681600.

The previous prime is 10223117669. The next prime is 10223117761. The reversal of 10223117740 is 4771132201.

It is a junction number, because it is equal to n+sod(n) for n = 10223117699 and 10223117708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127861 + ... + 2132659.

It is an arithmetic number, because the mean of its divisors is an integer number (255225600).

Almost surely, 210223117740 is an apocalyptic number.

10223117740 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 10223117740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250828800).

10223117740 is an abundant number, since it is smaller than the sum of its proper divisors (14278539860).

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

10223117740 is a wasteful number, since it uses less digits than its factorization.

10223117740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

Adding to 10223117740 its reverse (4771132201), we get a palindrome (14994249941).

The spelling of 10223117740 in words is "ten billion, two hundred twenty-three million, one hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 421 460 506 842 1012 1265 1684 2105 2530 4210 4631 4799 5060 8420 9262 9598 9683 18524 19196 19366 23155 23995 38732 46310 47990 48415 52789 92620 95980 96830 105578 106513 110377 193660 211156 213026 220754 263945 426052 441508 527890 532565 551885 1055780 1065130 1103770 1214147 2020379 2130260 2207540 2428294 4040758 4856588 6070735 8081516 10101895 12141470 20203790 22224169 24282940 40407580 44448338 46468717 88896676 92937434 111120845 185874868 222241690 232343585 444483380 464687170 511155887 929374340 1022311774 2044623548 2555779435 5111558870 10223117740