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2263190329 = 11324212
BaseRepresentation
bin1000011011100101…
…1000101100111001
312211201120222111001
42012321120230321
514113334042304
61012324005001
7110040541351
oct20671305471
95751528431
102263190329
11a6156a434
12531b30761
132a0b5779a
14176809b61
15d3a4eda4
hex86e58b39

2263190329 has 9 divisors (see below), whose sum is σ = 2288832429. Its totient is φ = 2237833920.

The previous prime is 2263190273. The next prime is 2263190357. The reversal of 2263190329 is 9230913622.

The square root of 2263190329 is 47573.

It is a perfect power (a square), and thus also a powerful number.

2263190329 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 4 ways, for example, as 2172026025 + 91164304 = 46605^2 + 9548^2 .

It is not a de Polignac number, because 2263190329 - 231 = 115706681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2263190429) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5375539 + ... + 5375959.

Almost surely, 22263190329 is an apocalyptic number.

2263190329 is the 47573-rd square number.

2263190329 is the 23787-th centered octagonal number.

It is an amenable number.

2263190329 is a deficient number, since it is larger than the sum of its proper divisors (25642100).

2263190329 is an frugal number, since it uses more digits than its factorization.

2263190329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The cubic root of 2263190329 is about 1312.9263348365.

The spelling of 2263190329 in words is "two billion, two hundred sixty-three million, one hundred ninety thousand, three hundred twenty-nine".

Divisors: 1 113 421 12769 47573 177241 5375749 20028233 2263190329