Search a number
-
+
2002003332200 = 235282912074809
BaseRepresentation
bin11101001000100000101…
…100101000110001101000
321002101112001110200002222
4131020200230220301220
5230300100323112300
64131412503213212
7264432336355514
oct35104054506150
97071461420088
102002003332200
11702054763a33
12284002a47208
13116a32607341
146cc7c975144
1537123cec785
hex1d220b28c68

2002003332200 has 48 divisors (see below), whose sum is σ = 4660272919500. Its totient is φ = 799835281920.

The previous prime is 2002003332187. The next prime is 2002003332221. The reversal of 2002003332200 is 22333002002.

It can be written as a sum of positive squares in 6 ways, for example, as 871791955204 + 1130211376996 = 933698^2 + 1063114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5871605 + ... + 6203204.

Almost surely, 22002003332200 is an apocalyptic number.

2002003332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002003332200 is an abundant number, since it is smaller than the sum of its proper divisors (2658269587300).

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

2002003332200 is a wasteful number, since it uses less digits than its factorization.

2002003332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075654 (or 12075645 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 2002003332200 its reverse (22333002002), we get a palindrome (2024336334202).

The spelling of 2002003332200 in words is "two trillion, two billion, three million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 829 1658 3316 4145 6632 8290 16580 20725 33160 41450 82900 165800 12074809 24149618 48299236 60374045 96598472 120748090 241496180 301870225 482992360 603740450 1207480900 2414961800 10010016661 20020033322 40040066644 50050083305 80080133288 100100166610 200200333220 250250416525 400400666440 500500833050 1001001666100 2002003332200