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112221200224 = 2572174209979
BaseRepresentation
bin110100010000011100…
…1111001111101100000
3101201122212222122021001
41220200321321331200
53314312111401344
6123315333441344
711051642314600
oct1504071717540
9351585878231
10112221200224
1143657a3a781
12198ba7a0254
13a775742073
1456081bcc00
152dbc100ed4
hex1a20e79f60

112221200224 has 72 divisors (see below), whose sum is σ = 272124687240. Its totient is φ = 45265683456.

The previous prime is 112221200197. The next prime is 112221200249. The reversal of 112221200224 is 422002122211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2078334 + ... + 2131645.

It is an arithmetic number, because the mean of its divisors is an integer number (3779509545).

Almost surely, 2112221200224 is an apocalyptic number.

112221200224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112221200224 is an abundant number, since it is smaller than the sum of its proper divisors (159903487016).

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

112221200224 is a wasteful number, since it uses less digits than its factorization.

112221200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210020 (or 4210005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 112221200224 its reverse (422002122211), we get a palindrome (534223322435).

It can be divided in two parts, 112221 and 200224, that added together give a triangular number (312445 = T790).

The spelling of 112221200224 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 4209979 8419958 16839916 29469853 33679832 58939706 67359664 71569643 117879412 134719328 143139286 206288971 235758824 286278572 412577942 471517648 500987501 572557144 825155884 943035296 1001975002 1145114288 1650311768 2003950004 2290228576 3300623536 3506912507 4007900008 6601247072 7013825014 8015800016 14027650028 16031600032 28055300056 56110600112 112221200224