Search a number
-
+
2002248 = 233227809
BaseRepresentation
bin111101000110101001000
310202201120100
413220311020
51003032443
6110525400
723006313
oct7506510
93681510
102002248
111148356
12806860
13551481
143a197a
152983d3
hex1e8d48

2002248 has 24 divisors (see below), whose sum is σ = 5422950. Its totient is φ = 667392.

The previous prime is 2002229. The next prime is 2002249. The reversal of 2002248 is 8422002.

It can be written as a sum of positive squares in only one way, i.e., 1542564 + 459684 = 1242^2 + 678^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2002248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002249) 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, 13833 + ... + 13976.

22002248 is an apocalyptic number.

It is an amenable number.

2002248 is an abundant number, since it is smaller than the sum of its proper divisors (3420702).

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

2002248 is a wasteful number, since it uses less digits than its factorization.

2002248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27821 (or 27814 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2002248 is about 1415.0081271851. The cubic root of 2002248 is about 126.0392923564.

The spelling of 2002248 in words is "two million, two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27809 55618 83427 111236 166854 222472 250281 333708 500562 667416 1001124 2002248