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2002202000 = 24539711031
BaseRepresentation
bin111011101010111…
…0010110110010000
312011112111101210122
41313111302312100
513100030431000
6530402045412
7100421302421
oct16725626620
95145441718
102002202000
11938210aa7
1247a649868
1325ba68716
1414dcad648
15bab9a085
hex77572d90

2002202000 has 80 divisors (see below), whose sum is σ = 4851010944. Its totient is φ = 799280000.

The previous prime is 2002201987. The next prime is 2002202011. The reversal of 2002202000 is 2022002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941485 + ... + 1942515.

Almost surely, 22002202000 is an apocalyptic number.

2002202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425505472).

2002202000 is an abundant number, since it is smaller than the sum of its proper divisors (2848808944).

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

2002202000 is a wasteful number, since it uses less digits than its factorization.

2002202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2002202000 is about 44745.9718857463. The cubic root of 2002202000 is about 1260.3832713264.

Adding to 2002202000 its reverse (2022002), we get a palindrome (2004224002).

The spelling of 2002202000 in words is "two billion, two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 971 1000 1031 1942 2000 2062 3884 4124 4855 5155 7768 8248 9710 10310 15536 16496 19420 20620 24275 25775 38840 41240 48550 51550 77680 82480 97100 103100 121375 128875 194200 206200 242750 257750 388400 412400 485500 515500 971000 1001101 1031000 1942000 2002202 2062000 4004404 5005505 8008808 10011010 16017616 20022020 25027525 40044040 50055050 80088080 100110100 125137625 200220200 250275250 400440400 500550500 1001101000 2002202000