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2212442112 = 2123401449
BaseRepresentation
bin1000001111011111…
…0011000000000000
312201012002201000110
42003313303000000
514012341121422
61003312151320
7105553306356
oct20367630000
95635081013
102212442112
11a35958561
12518b38540
1329349995a
1416db997d6
15ce37860c
hex83df3000

2212442112 has 104 divisors (see below), whose sum is σ = 5927007600. Its totient is φ = 734003200.

The previous prime is 2212442053. The next prime is 2212442117. The reversal of 2212442112 is 2112442122.

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 not an unprimeable number, because it can be changed into a prime (2212442117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4927264 + ... + 4927712.

Almost surely, 22212442112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963503800).

2212442112 is an abundant number, since it is smaller than the sum of its proper divisors (3714565488).

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

2212442112 is an equidigital number, since it uses as much as digits as its factorization.

2212442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 855 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2212442112 is about 47036.6039590445. The cubic root of 2212442112 is about 1303.0386732064.

Adding to 2212442112 its reverse (2112442122), we get a palindrome (4324884234).

The spelling of 2212442112 in words is "two billion, two hundred twelve million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 401 449 512 768 802 898 1024 1203 1347 1536 1604 1796 2048 2406 2694 3072 3208 3592 4096 4812 5388 6144 6416 7184 9624 10776 12288 12832 14368 19248 21552 25664 28736 38496 43104 51328 57472 76992 86208 102656 114944 153984 172416 180049 205312 229888 307968 344832 360098 410624 459776 540147 615936 689664 720196 821248 919552 1080294 1231872 1379328 1440392 1642496 1839104 2160588 2463744 2758656 2880784 4321176 4927488 5517312 5761568 8642352 11523136 17284704 23046272 34569408 46092544 69138816 92185088 138277632 184370176 276555264 368740352 553110528 737480704 1106221056 2212442112