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2002000248 = 233227805559
BaseRepresentation
bin111011101010100…
…0001100101111000
312011112010011001100
41313111001211320
513100003001443
6530353451400
7100416502263
oct16725014570
95145104040
102002000248
11938093466
1247a570b60
1325b9c7941
1414dc59cda
15bab5a3d3
hex77541978

2002000248 has 24 divisors (see below), whose sum is σ = 5422084200. Its totient is φ = 667333392.

The previous prime is 2002000229. The next prime is 2002000249. The reversal of 2002000248 is 8420002002.

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 2002000248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000249) 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, 13902708 + ... + 13902851.

It is an arithmetic number, because the mean of its divisors is an integer number (225920175).

Almost surely, 22002000248 is an apocalyptic number.

It is an amenable number.

2002000248 is an abundant number, since it is smaller than the sum of its proper divisors (3420083952).

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

2002000248 is a wasteful number, since it uses less digits than its factorization.

2002000248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27805571 (or 27805564 counting only the distinct ones).

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

The square root of 2002000248 is about 44743.7174137331. The cubic root of 2002000248 is about 1260.3409357067.

The spelling of 2002000248 in words is "two billion, two million, two hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27805559 55611118 83416677 111222236 166833354 222444472 250250031 333666708 500500062 667333416 1001000124 2002000248