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4422212112 = 243418327073
BaseRepresentation
bin1000001111001010…
…11001101000010000
3102102012011122120210
410013211121220100
533024041241422
62010451204120
7214405116453
oct40745315020
912365148523
104422212112
11196a25045a
12a34ba6640
1355623c276
142dd45b49a
151ad37510c
hex107959a10

4422212112 has 80 divisors (see below), whose sum is σ = 11844116928. Its totient is φ = 1420738560.

The previous prime is 4422212101. The next prime is 4422212129. The reversal of 4422212112 is 2112122244.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149808 + ... + 176880.

Almost surely, 24422212112 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 4422212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922058464).

4422212112 is an abundant number, since it is smaller than the sum of its proper divisors (7421904816).

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

4422212112 is a wasteful number, since it uses less digits than its factorization.

4422212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27208 (or 27202 counting only the distinct ones).

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

The square root of 4422212112 is about 66499.7151272094. The cubic root of 4422212112 is about 1641.3953165891.

Adding to 4422212112 its reverse (2112122244), we get a palindrome (6534334356).

The spelling of 4422212112 in words is "four billion, four hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 83 123 164 166 246 249 328 332 492 498 656 664 984 996 1328 1968 1992 3403 3984 6806 10209 13612 20418 27073 27224 40836 54146 54448 81219 81672 108292 162438 163344 216584 324876 433168 649752 1109993 1299504 2219986 2247059 3329979 4439972 4494118 6659958 6741177 8879944 8988236 13319916 13482354 17759888 17976472 26639832 26964708 35952944 53279664 53929416 92129419 107858832 184258838 276388257 368517676 552776514 737035352 1105553028 1474070704 2211106056 4422212112