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2282116420 = 225114105821
BaseRepresentation
bin1000100000000110…
…0101010101000100
312220001012112012101
42020001211111010
514133210211140
61014241401444
7110360445433
oct21001452504
95801175171
102282116420
11a71216931
12538339284
132a4a5315c
1417913511a
15d553c99a
hex88065544

2282116420 has 12 divisors (see below), whose sum is σ = 4792444524. Its totient is φ = 912846560.

The previous prime is 2282116409. The next prime is 2282116427. The reversal of 2282116420 is 246112822.

It can be written as a sum of positive squares in 2 ways, for example, as 1706020416 + 576096004 = 41304^2 + 24002^2 .

It is not an unprimeable number, because it can be changed into a prime (2282116427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57052891 + ... + 57052930.

It is an arithmetic number, because the mean of its divisors is an integer number (399370377).

Almost surely, 22282116420 is an apocalyptic number.

2282116420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282116420 is an abundant number, since it is smaller than the sum of its proper divisors (2510328104).

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

2282116420 is a wasteful number, since it uses less digits than its factorization.

2282116420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114105830 (or 114105828 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2282116420 is about 47771.5021744136. The cubic root of 2282116420 is about 1316.5759936135.

The spelling of 2282116420 in words is "two billion, two hundred eighty-two million, one hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 114105821 228211642 456423284 570529105 1141058210 2282116420