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112221440240 = 24571379195127
BaseRepresentation
bin110100010000011101…
…0110100100011110000
3101201122220102211111112
41220200322310203300
53314312142041430
6123315342532452
711051644334420
oct1504072644360
9351586384445
10112221440240
1143658094038
12198ba897128
13a7757c73a0
145608242480
152dbc14c195
hex1a20eb48f0

112221440240 has 160 divisors (see below), whose sum is σ = 325192519680. Its totient is φ = 35066483712.

The previous prime is 112221440203. The next prime is 112221440299. The reversal of 112221440240 is 42044122211.

It is a congruent number.

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, 477557 + ... + 672683.

It is an arithmetic number, because the mean of its divisors is an integer number (2032453248).

Almost surely, 2112221440240 is an apocalyptic number.

112221440240 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 112221440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162596259840).

112221440240 is an abundant number, since it is smaller than the sum of its proper divisors (212971079440).

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

112221440240 is a wasteful number, since it uses less digits than its factorization.

112221440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195239 (or 195233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 112221440240 its reverse (42044122211), we get a palindrome (154265562451).

The spelling of 112221440240 in words is "one hundred twelve billion, two hundred twenty-one million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 79 80 91 104 112 130 140 158 182 208 260 280 316 364 395 455 520 553 560 632 728 790 910 1027 1040 1106 1264 1456 1580 1820 2054 2212 2765 3160 3640 4108 4424 5135 5530 6320 7189 7280 8216 8848 10270 11060 14378 16432 20540 22120 28756 35945 41080 44240 57512 71890 82160 115024 143780 195127 287560 390254 575120 780508 975635 1365889 1561016 1951270 2536651 2731778 3122032 3902540 5073302 5463556 6829445 7805080 10146604 10927112 12683255 13658890 15415033 15610160 17756557 20293208 21854224 25366510 27317780 30830066 35513114 40586416 50733020 54635560 61660132 71026228 77075165 88782785 101466040 107905231 109271120 123320264 142052456 154150330 177565570 200395429 202932080 215810462 246640528 284104912 308300660 355131140 400790858 431620924 539526155 616601320 710262280 801581716 863241848 1001977145 1079052310 1233202640 1402768003 1420524560 1603163432 1726483696 2003954290 2158104620 2805536006 3206326864 4007908580 4316209240 5611072012 7013840015 8015817160 8632418480 11222144024 14027680030 16031634320 22444288048 28055360060 56110720120 112221440240