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2266416160 = 25514165101
BaseRepresentation
bin1000011100010110…
…1100010000100000
312211221122212111021
42013011230100200
514120200304120
61012521055224
7110110135201
oct20705542040
95757585437
102266416160
11a63373008
12533027514
132a1716b68
141770095a8
15d3e8aaaa
hex8716c420

2266416160 has 24 divisors (see below), whose sum is σ = 5354408556. Its totient is φ = 906566400.

The previous prime is 2266416137. The next prime is 2266416161. The reversal of 2266416160 is 616146622.

It can be written as a sum of positive squares in 2 ways, for example, as 1856920464 + 409495696 = 43092^2 + 20236^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2266416161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7082391 + ... + 7082710.

Almost surely, 22266416160 is an apocalyptic number.

2266416160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266416160 is an abundant number, since it is smaller than the sum of its proper divisors (3087992396).

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

2266416160 is a wasteful number, since it uses less digits than its factorization.

2266416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14165116 (or 14165108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 2266416160 is about 47606.8919380377. The cubic root of 2266416160 is about 1313.5498304631.

The spelling of 2266416160 in words is "two billion, two hundred sixty-six million, four hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14165101 28330202 56660404 70825505 113320808 141651010 226641616 283302020 453283232 566604040 1133208080 2266416160