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2212112160 = 25335975279
BaseRepresentation
bin1000001111011010…
…0010011100100000
312201011110221102000
42003312202130200
514012300042120
61003301124000
7105550433406
oct20366423440
95634427360
102212112160
11a35752675
125189b9600
132933b270b
1416db11476
15ce310990
hex83da2720

2212112160 has 192 divisors, whose sum is σ = 7823692800. Its totient is φ = 583704576.

The previous prime is 2212112159. The next prime is 2212112179. The reversal of 2212112160 is 612112122.

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

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 31 ways as a sum of consecutive naturals, for example, 416401 + ... + 421679.

It is an arithmetic number, because the mean of its divisors is an integer number (40748400).

Almost surely, 22212112160 is an apocalyptic number.

2212112160 is a gapful number since it is divisible by the number (20) 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 2212112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911846400).

2212112160 is an abundant number, since it is smaller than the sum of its proper divisors (5611580640).

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

2212112160 is a wasteful number, since it uses less digits than its factorization.

2212112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2212112160 is about 47033.0964321934. The cubic root of 2212112160 is about 1302.9738938707.

Adding to 2212112160 its reverse (612112122), we get a palindrome (2824224282).

The spelling of 2212112160 in words is "two billion, two hundred twelve million, one hundred twelve thousand, one hundred sixty".