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2271312 = 243215773
BaseRepresentation
bin1000101010100001010000
311021101122200
420222201100
51040140222
6120403200
725206621
oct10524120
94241580
102271312
11131151a
12916500
13616a94
14431a48
152eceac
hex22a850

2271312 has 30 divisors (see below), whose sum is σ = 6356922. Its totient is φ = 757056.

The previous prime is 2271307. The next prime is 2271337. The reversal of 2271312 is 2131722.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 266256 = 1416^2 + 516^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7743 + ... + 8030.

22271312 is an apocalyptic number.

It is an amenable number.

2271312 is an abundant number, since it is smaller than the sum of its proper divisors (4085610).

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

2271312 is a wasteful number, since it uses less digits than its factorization.

2271312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787 (or 15778 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2271312 is about 1507.0872569297. The cubic root of 2271312 is about 131.4494979731.

The spelling of 2271312 in words is "two million, two hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15773 31546 47319 63092 94638 126184 141957 189276 252368 283914 378552 567828 757104 1135656 2271312