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2263329 = 33174931
BaseRepresentation
bin1000101000100100100001
311020222201000
420220210201
51034411304
6120302213
725144425
oct10504441
94228630
102263329
111306522
12911969
13613263
1442cb85
152ea939
hex228921

2263329 has 16 divisors (see below), whose sum is σ = 3551040. Its totient is φ = 1419840.

The previous prime is 2263321. The next prime is 2263357. The reversal of 2263329 is 9233622.

2263329 is a `hidden beast` number, since 2 + 2 + 633 + 29 = 666.

It is not a de Polignac number, because 2263329 - 23 = 2263321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2 + 27 + 68 + 3 + 35 + 219 + 95 .

It is a Curzon number.

2263329 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2263321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (221940).

22263329 is an apocalyptic number.

It is an amenable number.

2263329 is a deficient number, since it is larger than the sum of its proper divisors (1287711).

2263329 is a wasteful number, since it uses less digits than its factorization.

2263329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4951 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2263329 is about 1504.4364393353. The cubic root of 2263329 is about 131.2953149651.

The spelling of 2263329 in words is "two million, two hundred sixty-three thousand, three hundred twenty-nine".

Divisors: 1 3 9 17 27 51 153 459 4931 14793 44379 83827 133137 251481 754443 2263329