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2002020900 = 2235211606673
BaseRepresentation
bin111011101010100…
…0110101000100100
312011112011012101020
41313111012220210
513100004132100
6530354131140
7100416616425
oct16725065044
95145135336
102002020900
119380a7a30
1247a580ab0
1325ba04169
1414dc6364c
15bab615a0
hex77546a24

2002020900 has 72 divisors (see below), whose sum is σ = 6319116384. Its totient is φ = 485337600.

The previous prime is 2002020871. The next prime is 2002020941. The reversal of 2002020900 is 90202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002020900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300037 + ... + 306636.

Almost surely, 22002020900 is an apocalyptic number.

2002020900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020900 is an abundant number, since it is smaller than the sum of its proper divisors (4317095484).

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

2002020900 is a wasteful number, since it uses less digits than its factorization.

2002020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606701 (or 606694 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2002020900 is about 44743.9481941413. The cubic root of 2002020900 is about 1260.3452694510.

Adding to 2002020900 its reverse (90202002), we get a palindrome (2092222902).

The spelling of 2002020900 in words is "two billion, two million, twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 606673 1213346 1820019 2426692 3033365 3640038 6066730 6673403 7280076 9100095 12133460 13346806 15166825 18200190 20020209 26693612 30333650 33367015 36400380 40040418 45500475 60667300 66734030 80080836 91000950 100101045 133468060 166835075 182001900 200202090 333670150 400404180 500505225 667340300 1001010450 2002020900