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2002312 = 231321481
BaseRepresentation
bin111101000110110001000
310202201122201
413220312020
51003033222
6110525544
723006434
oct7506610
93681581
102002312
111148404
128068b4
13551500
143a19c4
15298427
hex1e8d88

2002312 has 24 divisors (see below), whose sum is σ = 4068090. Its totient is φ = 923520.

The previous prime is 2002307. The next prime is 2002313. The reversal of 2002312 is 2132002.

It can be written as a sum of positive squares in 3 ways, for example, as 933156 + 1069156 = 966^2 + 1034^2 .

It is not an unprimeable number, because it can be changed into a prime (2002313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 612 + ... + 2092.

22002312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034045).

2002312 is an abundant number, since it is smaller than the sum of its proper divisors (2065778).

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

2002312 is a wasteful number, since it uses less digits than its factorization.

2002312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2002312 is about 1415.0307417155. The cubic root of 2002312 is about 126.0406352518.

Adding to 2002312 its reverse (2132002), we get a palindrome (4134314).

It can be divided in two parts, 200 and 2312, that multiplied together give a square (462400 = 6802).

The spelling of 2002312 in words is "two million, two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1481 2962 5924 11848 19253 38506 77012 154024 250289 500578 1001156 2002312