Search a number
-
+
112245540 = 223511198951
BaseRepresentation
bin1101011000010…
…11101100100100
321211012122221020
412230023230210
5212213324130
615045451140
72532033321
oct654135444
9254178836
10112245540
11583a5810
1231710ab0
131a3404a4
1410c9bb48
159cc2e10
hex6b0bb24

112245540 has 96 divisors (see below), whose sum is σ = 360944640. Its totient is φ = 25776000.

The previous prime is 112245527. The next prime is 112245557. The reversal of 112245540 is 45542211.

112245540 = T2211 + T2212 + ... + T2255.

It is a super-2 number, since 2×1122455402 = 25198122499783200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112245540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8065 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (3759840).

Almost surely, 2112245540 is an apocalyptic number.

112245540 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 112245540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180472320).

112245540 is an abundant number, since it is smaller than the sum of its proper divisors (248699100).

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

112245540 is a wasteful number, since it uses less digits than its factorization.

112245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 112245540 is about 10594.5995677043. The cubic root of 112245540 is about 482.3804494991.

Adding to 112245540 its reverse (45542211), we get a palindrome (157787751).

The spelling of 112245540 in words is "one hundred twelve million, two hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 8951 12540 17902 26853 35804 44755 53706 89510 98461 107412 134265 170069 179020 196922 268530 295383 340138 393844 492305 510207 537060 590766 680276 850345 984610 1020414 1181532 1476915 1700690 1870759 1969220 2040828 2551035 2953830 3401380 3741518 5102070 5612277 5907660 7483036 9353795 10204140 11224554 18707590 22449108 28061385 37415180 56122770 112245540