Search a number
-
+
12210114224 = 2471141241727
BaseRepresentation
bin10110101111100011…
…11000111010110000
31011111221111001212202
423113301320322300
5200001242123344
65335333042332
7611402154440
oct132761707260
934457431782
1012210114224
1151a63225a0
1224491863a8
1311c7850679
1483b8b4120
154b6e2694e
hex2d7c78eb0

12210114224 has 80 divisors (see below), whose sum is σ = 30214066176. Its totient is φ = 4641139200.

The previous prime is 12210114211. The next prime is 12210114233. The reversal of 12210114224 is 42241101221.

It is a junction number, because it is equal to n+sod(n) for n = 12210114196 and 12210114205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70352 + ... + 171375.

Almost surely, 212210114224 is an apocalyptic number.

12210114224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12210114224 is an abundant number, since it is smaller than the sum of its proper divisors (18003951952).

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

12210114224 is a wasteful number, since it uses less digits than its factorization.

12210114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241794 (or 241788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12210114224 its reverse (42241101221), we get a palindrome (54451215445).

The spelling of 12210114224 in words is "twelve billion, two hundred ten million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 2296 3157 3608 4592 6314 7216 12628 25256 50512 241727 483454 966908 1692089 1933816 2658997 3384178 3867632 5317994 6768356 9910807 10635988 13536712 18612979 19821614 21271976 27073424 37225958 39643228 42543952 69375649 74451916 79286456 109018877 138751298 148903832 158572912 218037754 277502596 297807664 436075508 555005192 763132139 872151016 1110010384 1526264278 1744302032 3052528556 6105057112 12210114224