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2213312112 = 2432117319141
BaseRepresentation
bin1000001111101100…
…0111011001110000
312201020201220102200
42003323013121300
514013101441422
61003342543200
7105563561664
oct20373073160
95636656380
102213312112
11a363a2170
12519297b00
1329371294b
1416dd448a4
15ce49b2ac
hex83ec7670

2213312112 has 120 divisors (see below), whose sum is σ = 6850232688. Its totient is φ = 661478400.

The previous prime is 2213312083. The next prime is 2213312137. The reversal of 2213312112 is 2112133122.

2213312112 is a `hidden beast` number, since 221 + 331 + 2 + 112 = 666.

2213312112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106062 + ... + 125202.

Almost surely, 22213312112 is an apocalyptic number.

2213312112 is a gapful number since it is divisible by the number (22) 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 2213312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425116344).

2213312112 is an abundant number, since it is smaller than the sum of its proper divisors (4636920576).

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

2213312112 is a wasteful number, since it uses less digits than its factorization.

2213312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19239 (or 19230 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2213312112 is about 47045.8511667076. The cubic root of 2213312112 is about 1303.2094490619.

Adding to 2213312112 its reverse (2112133122), we get a palindrome (4325445234).

The spelling of 2213312112 in words is "two billion, two hundred thirteen million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 657 792 803 876 1168 1314 1584 1606 1752 2409 2628 3212 3504 4818 5256 6424 7227 9636 10512 12848 14454 19141 19272 28908 38282 38544 57423 57816 76564 114846 115632 153128 172269 210551 229692 306256 344538 421102 459384 631653 689076 842204 918768 1263306 1378152 1397293 1684408 1894959 2526612 2756304 2794586 3368816 3789918 4191879 5053224 5589172 7579836 8383758 10106448 11178344 12575637 15159672 15370223 16767516 22356688 25151274 30319344 30740446 33535032 46110669 50302548 61480892 67070064 92221338 100605096 122961784 138332007 184442676 201210192 245923568 276664014 368885352 553328028 737770704 1106656056 2213312112