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2211002112 = 283111571667
BaseRepresentation
bin1000001111001001…
…0011011100000000
312201002101112201010
42003302103130000
514012004031422
61003221240520
7105535131204
oct20362233400
95632345633
102211002112
11a35064680
12518563140
132930b4397
1416d902b04
15ce191b0c
hex83c93700

2211002112 has 144 divisors (see below), whose sum is σ = 6464207232. Its totient is φ = 665333760.

The previous prime is 2211002071. The next prime is 2211002141. The reversal of 2211002112 is 2112001122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325503 + ... + 1327169.

It is an arithmetic number, because the mean of its divisors is an integer number (44890328).

Almost surely, 22211002112 is an apocalyptic number.

2211002112 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 2211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232103616).

2211002112 is an abundant number, since it is smaller than the sum of its proper divisors (4253205120).

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

2211002112 is a wasteful number, since it uses less digits than its factorization.

2211002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2211002112 is about 47021.2942399505. The cubic root of 2211002112 is about 1302.7559113185.

Adding to 2211002112 its reverse (2112001122), we get a palindrome (4323003234).

The spelling of 2211002112 in words is "two billion, two hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 157 176 192 256 264 314 352 384 471 528 628 704 768 942 1056 1256 1408 1667 1727 1884 2112 2512 2816 3334 3454 3768 4224 5001 5024 5181 6668 6908 7536 8448 10002 10048 10362 13336 13816 15072 18337 20004 20096 20724 26672 27632 30144 36674 40008 40192 41448 53344 55011 55264 60288 73348 80016 82896 106688 110022 110528 120576 146696 160032 165792 213376 220044 221056 261719 293392 320064 331584 426752 440088 442112 523438 586784 640128 663168 785157 880176 1046876 1173568 1280256 1326336 1570314 1760352 2093752 2347136 2878909 3140628 3520704 4187504 4694272 5757818 6281256 7041408 8375008 8636727 11515636 12562512 14082816 16750016 17273454 23031272 25125024 33500032 34546908 46062544 50250048 67000064 69093816 92125088 100500096 138187632 184250176 201000192 276375264 368500352 552750528 737000704 1105501056 2211002112