Search a number
-
+
200002020 = 223523373917
BaseRepresentation
bin10111110101111…
…00100111100100
3111221100011012020
423322330213210
5402200031040
631502423140
74645663161
oct1372744744
9457304166
10200002020
11a2994529
1256b91ab0
13325881ba
141c7c3068
1512859cd0
hexbebc9e4

200002020 has 96 divisors (see below), whose sum is σ = 600300288. Its totient is φ = 49623552.

The previous prime is 200002007. The next prime is 200002027. The reversal of 200002020 is 20200002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200002027) 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 31 ways as a sum of consecutive naturals, for example, 49102 + ... + 53018.

It is an arithmetic number, because the mean of its divisors is an integer number (6253128).

Almost surely, 2200002020 is an apocalyptic number.

200002020 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 200002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300150144).

200002020 is an abundant number, since it is smaller than the sum of its proper divisors (400298268).

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

200002020 is a wasteful number, since it uses less digits than its factorization.

200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 200002020 is about 14142.2070413355. The cubic root of 200002020 is about 584.8055164746.

Adding to 200002020 its reverse (20200002), we get a palindrome (220202022).

The spelling of 200002020 in words is "two hundred million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 851 1110 1380 1702 2220 2553 3404 3917 4255 5106 7834 8510 10212 11751 12765 15668 17020 19585 23502 25530 39170 47004 51060 58755 78340 90091 117510 144929 180182 235020 270273 289858 360364 434787 450455 540546 579716 724645 869574 900910 1081092 1351365 1449290 1739148 1801820 2173935 2702730 2898580 3333367 4347870 5405460 6666734 8695740 10000101 13333468 16666835 20000202 33333670 40000404 50000505 66667340 100001010 200002020