Search a number
-
+
2002201820 = 225709141199
BaseRepresentation
bin111011101010111…
…0010110011011100
312011112111101112222
41313111302303130
513100030424240
6530402044512
7100421302043
oct16725626334
95145441488
102002201820
11938210953
1247a649738
1325ba68608
1414dcad55a
15bab99eb5
hex77572cdc

2002201820 has 24 divisors (see below), whose sum is σ = 4210584000. Its totient is φ = 799745472.

The previous prime is 2002201811. The next prime is 2002201837. The reversal of 2002201820 is 281022002.

It is a super-2 number, since 2×20022018202 = 8017624256022624800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56420 + ... + 84779.

It is an arithmetic number, because the mean of its divisors is an integer number (175441000).

Almost surely, 22002201820 is an apocalyptic number.

2002201820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201820 is an abundant number, since it is smaller than the sum of its proper divisors (2208382180).

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

2002201820 is a wasteful number, since it uses less digits than its factorization.

2002201820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141917 (or 141915 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2002201820 is about 44745.9698743920. The cubic root of 2002201820 is about 1260.3832335565.

Adding to 2002201820 its reverse (281022002), we get a palindrome (2283223822).

The spelling of 2002201820 in words is "two billion, two million, two hundred one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 709 1418 2836 3545 7090 14180 141199 282398 564796 705995 1411990 2823980 100110091 200220182 400440364 500550455 1001100910 2002201820