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2199686112 = 253313376779
BaseRepresentation
bin1000001100011100…
…1000101111100000
312200022002122002000
42003013020233200
514001104423422
61002134524000
7105340011021
oct20307105740
95608078060
102199686112
11a29735808
12514806600
13290951820
1416c1d8c48
15cd1a8cac
hex831c8be0

2199686112 has 384 divisors, whose sum is σ = 7293081600. Its totient is φ = 640493568.

The previous prime is 2199686089. The next prime is 2199686123. The reversal of 2199686112 is 2116869912.

2199686112 is a `hidden beast` number, since 21 + 9 + 9 + 6 + 8 + 611 + 2 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 27844089 + ... + 27844167.

It is an arithmetic number, because the mean of its divisors is an integer number (18992400).

Almost surely, 22199686112 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 2199686112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646540800).

2199686112 is an abundant number, since it is smaller than the sum of its proper divisors (5093395488).

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

2199686112 is a wasteful number, since it uses less digits than its factorization.

2199686112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 2199686112 is about 46900.8114215522. The cubic root of 2199686112 is about 1300.5295893567.

The spelling of 2199686112 in words is "two billion, one hundred ninety-nine million, six hundred eighty-six thousand, one hundred twelve".