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2002201000 = 235319105379
BaseRepresentation
bin111011101010111…
…0010100110101000
312011112111100102121
41313111302212220
513100030413000
6530402041024
7100421266462
oct16725624650
95145440377
102002201000
11938210278
1247a649174
1325ba68127
1414dcad132
15bab99b1a
hex775729a8

2002201000 has 64 divisors (see below), whose sum is σ = 4931784000. Its totient is φ = 758721600.

The previous prime is 2002200989. The next prime is 2002201001. The reversal of 2002201000 is 1022002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2002201001) by changing a digit.

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, 33690 + ... + 71689.

It is an arithmetic number, because the mean of its divisors is an integer number (77059125).

Almost surely, 22002201000 is an apocalyptic number.

2002201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002201000 is an abundant number, since it is smaller than the sum of its proper divisors (2929583000).

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

2002201000 is a wasteful number, since it uses less digits than its factorization.

2002201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105419 (or 105405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2002201000 is about 44745.9607115547. The cubic root of 2002201000 is about 1260.3830614935.

Adding to 2002201000 its reverse (1022002), we get a palindrome (2003223002).

The spelling of 2002201000 in words is "two billion, two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 105379 210758 421516 526895 843032 1053790 2002201 2107580 2634475 4004402 4215160 5268950 8008804 10011005 10537900 13172375 16017608 20022010 21075800 26344750 40044020 50055025 52689500 80088040 100110050 105379000 200220100 250275125 400440200 500550250 1001100500 2002201000