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2263330384 = 24722886901
BaseRepresentation
bin1000011011100111…
…1010111001010000
312211201212002121021
42012321322321100
514113403033014
61012331005224
7110041663600
oct20671727120
95751762537
102263330384
11a61655687
12531b99814
132a0ba6463
14176844c00
15d3a7b624
hex86e7ae50

2263330384 has 30 divisors (see below), whose sum is σ = 5101155834. Its totient is φ = 969998400.

The previous prime is 2263330379. The next prime is 2263330409. The reversal of 2263330384 is 4830333622.

2263330384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1982030400 + 281299984 = 44520^2 + 16772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1442667 + ... + 1444234.

Almost surely, 22263330384 is an apocalyptic number.

It is an amenable number.

2263330384 is an abundant number, since it is smaller than the sum of its proper divisors (2837825450).

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

2263330384 is a wasteful number, since it uses less digits than its factorization.

2263330384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886923 (or 2886910 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 2263330384 is about 47574.4719781523. The cubic root of 2263330384 is about 1312.9534172700.

The spelling of 2263330384 in words is "two billion, two hundred sixty-three million, three hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2886901 5773802 11547604 20208307 23095208 40416614 46190416 80833228 141458149 161666456 282916298 323332912 565832596 1131665192 2263330384