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2263131 = 321323292
BaseRepresentation
bin1000101000100001011011
311020222102200
420220201123
51034410011
6120301243
725144023
oct10504133
94228380
102263131
111306362
12911823
13613140
1442ca83
152ea856
hex22885b

2263131 has 36 divisors (see below), whose sum is σ = 3804528. Its totient is φ = 1286208.

The previous prime is 2263117. The next prime is 2263139. The reversal of 2263131 is 1313622.

2263131 is a `hidden beast` number, since 2 + 2 + 631 + 31 = 666.

It is not a de Polignac number, because 2263131 - 25 = 2263099 is a prime.

It is a super-2 number, since 2×22631312 = 10243523846322, which contains 22 as substring.

2263131 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78025 + ... + 78053.

22263131 is an apocalyptic number.

2263131 is a deficient number, since it is larger than the sum of its proper divisors (1541397).

2263131 is a wasteful number, since it uses less digits than its factorization.

2263131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2263131 is about 1504.3706325238. The cubic root of 2263131 is about 131.2914862052.

Adding to 2263131 its reverse (1313622), we get a palindrome (3576753).

The spelling of 2263131 in words is "two million, two hundred sixty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 23 29 39 69 87 117 207 261 299 377 667 841 897 1131 2001 2523 2691 3393 6003 7569 8671 10933 19343 26013 32799 58029 78039 98397 174087 251459 754377 2263131