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1112314224 = 243723314643
BaseRepresentation
bin100001001001100…
…1001000101110000
32212112000102021010
41002103021011300
54234223023344
6302212430520
736364341420
oct10223110560
92775012233
101112314224
1152096615a
12270618440
131495a29c8
14a7a26480
15679b98b9
hex424c9170

1112314224 has 160 divisors (see below), whose sum is σ = 3538059264. Its totient is φ = 294117120.

The previous prime is 1112314211. The next prime is 1112314253. The reversal of 1112314224 is 4224132111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1112314224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237247 + ... + 241889.

Almost surely, 21112314224 is an apocalyptic number.

1112314224 is a gapful number since it is divisible by the number (14) 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 1112314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769029632).

1112314224 is an abundant number, since it is smaller than the sum of its proper divisors (2425745040).

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

1112314224 is a wasteful number, since it uses less digits than its factorization.

1112314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4709 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1112314224 is about 33351.3751440627. The cubic root of 1112314224 is about 1036.1178689503.

Adding to 1112314224 its reverse (4224132111), we get a palindrome (5336446335).

The spelling of 1112314224 in words is "one billion, one hundred twelve million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 644 651 713 744 868 966 1104 1288 1302 1426 1488 1736 1932 2139 2576 2604 2852 3472 3864 4278 4643 4991 5208 5704 7728 8556 9286 9982 10416 11408 13929 14973 17112 18572 19964 27858 29946 32501 34224 37144 39928 55716 59892 65002 74288 79856 97503 106789 111432 119784 130004 143933 195006 213578 222864 239568 260008 287866 320367 390012 427156 431799 520016 575732 640734 747523 780024 854312 863598 1007531 1151464 1281468 1495046 1560048 1708624 1727196 2015062 2242569 2302928 2562936 2990092 3022593 3310459 3454392 4030124 4485138 5125872 5980184 6045186 6620918 6908784 8060248 8970276 9931377 11960368 12090372 13241836 16120496 17940552 19862754 23173213 24180744 26483672 35881104 39725508 46346426 48361488 52967344 69519639 79451016 92692852 139039278 158902032 185385704 278078556 370771408 556157112 1112314224