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2270301728 = 2584232
BaseRepresentation
bin1000011101010010…
…0000111000100000
312212012222021111012
42013110200320200
514122144123403
61013140240052
7110155150322
oct20724407040
95765867435
102270301728
11a65587322
125343a0028
132a2477606
1417773b612
15d44a6ed8
hex87520e20

2270301728 has 18 divisors (see below), whose sum is σ = 4470187239. Its totient is φ = 1135016096.

The previous prime is 2270301713. The next prime is 2270301731. The reversal of 2270301728 is 8271030722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1135150864 + 1135150864 = 33692^2 + 33692^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33692.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2270301694 and 2270301703.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 265325 + ... + 273747.

Almost surely, 22270301728 is an apocalyptic number.

It is an amenable number.

2270301728 is a deficient number, since it is larger than the sum of its proper divisors (2199885511).

2270301728 is an frugal number, since it uses more digits than its factorization.

2270301728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16856 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 2270301728 is about 47647.6833434743. The cubic root of 2270301728 is about 1314.3000565003.

Multiplying 2270301728 by its sum of digits (32), we get a square (72649655296 = 2695362).

2270301728 divided by its sum of digits (32) gives a square (70946929 = 84232).

The spelling of 2270301728 in words is "two billion, two hundred seventy million, three hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 8423 16846 33692 67384 134768 269536 70946929 141893858 283787716 567575432 1135150864 2270301728