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2214020160 = 2632511174111
BaseRepresentation
bin1000001111110111…
…0100010001000000
312201022001212200200
42003331310101000
514013242121120
61003410045200
7105602601162
oct20375642100
95638055620
102214020160
11a36836130
12519579800
13293900001
1417008a932
15ce58ae90
hex83f74440

2214020160 has 336 divisors, whose sum is σ = 8798429952. Its totient is φ = 505036800.

The previous prime is 2214020153. The next prime is 2214020173. The reversal of 2214020160 is 610204122.

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 47 ways as a sum of consecutive naturals, for example, 536505 + ... + 540615.

Almost surely, 22214020160 is an apocalyptic number.

2214020160 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 2214020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399214976).

2214020160 is an abundant number, since it is smaller than the sum of its proper divisors (6584409792).

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

2214020160 is a wasteful number, since it uses less digits than its factorization.

2214020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2214020160 is about 47053.3756493623. The cubic root of 2214020160 is about 1303.3484016692.

Adding to 2214020160 its reverse (610204122), we get a palindrome (2824224282).

The spelling of 2214020160 in words is "two billion, two hundred fourteen million, twenty thousand, one hundred sixty".