Search a number
-
+
2022000200 = 2352117431237
BaseRepresentation
bin111100010000101…
…0100011001001000
312012220202020211022
41320201110121020
513120113001300
6532350252012
7101051501213
oct17041243110
95186666738
102022000200
11948403750
124851b7008
13262bab02c
1415278477a
15bc7ab285
hex78854648

2022000200 has 96 divisors (see below), whose sum is σ = 5139581760. Its totient is φ = 733689600.

The previous prime is 2022000163. The next prime is 2022000221. The reversal of 2022000200 is 20002202.

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

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, 1633982 + ... + 1635218.

It is an arithmetic number, because the mean of its divisors is an integer number (53537310).

Almost surely, 22022000200 is an apocalyptic number.

2022000200 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 2022000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569790880).

2022000200 is an abundant number, since it is smaller than the sum of its proper divisors (3117581560).

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

2022000200 is a wasteful number, since it uses less digits than its factorization.

2022000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

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

The square root of 2022000200 is about 44966.6565357043. The cubic root of 2022000200 is about 1264.5239659275.

Adding to 2022000200 its reverse (20002202), we get a palindrome (2042002402).

The spelling of 2022000200 in words is "two billion, twenty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 743 1100 1237 1486 2200 2474 2972 3715 4948 5944 6185 7430 8173 9896 12370 13607 14860 16346 18575 24740 27214 29720 30925 32692 37150 40865 49480 54428 61850 65384 68035 74300 81730 108856 123700 136070 148600 163460 204325 247400 272140 326920 340175 408650 544280 680350 817300 919091 1360700 1634600 1838182 2721400 3676364 4595455 7352728 9190910 10110001 18381820 20220002 22977275 36763640 40440004 45954550 50550005 80880008 91909100 101100010 183818200 202200020 252750025 404400040 505500050 1011000100 2022000200