Search a number
-
+
222202000200 = 233521283288649
BaseRepresentation
bin1100111011110001000…
…1010111001101001000
3210020112122021011011010
43032330101113031020
512120032203001300
6250024520003520
722024241560365
oct3167421271510
9706478234133
10222202000200
11862652665a4
12370930005a0
1317c51c789bb
14aa7ca0546c
155ba76a4a50
hex33bc457348

222202000200 has 96 divisors (see below), whose sum is σ = 689365476000. Its totient is φ = 59207477760.

The previous prime is 222202000193. The next prime is 222202000309. The reversal of 222202000200 is 2000202222.

222202000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625476 + ... + 914124.

It is an arithmetic number, because the mean of its divisors is an integer number (7180890375).

Almost surely, 2222202000200 is an apocalyptic number.

222202000200 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 222202000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344682738000).

222202000200 is an abundant number, since it is smaller than the sum of its proper divisors (467163475800).

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

222202000200 is a wasteful number, since it uses less digits than its factorization.

222202000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289951 (or 289942 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 222202000200 its reverse (2000202222), we get a palindrome (224202202422).

The spelling of 222202000200 in words is "two hundred twenty-two billion, two hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1283 2566 3849 5132 6415 7698 10264 12830 15396 19245 25660 30792 32075 38490 51320 64150 76980 96225 128300 153960 192450 256600 288649 384900 577298 769800 865947 1154596 1443245 1731894 2309192 2886490 3463788 4329735 5772980 6927576 7216225 8659470 11545960 14432450 17318940 21648675 28864900 34637880 43297350 57729800 86594700 173189400 370336667 740673334 1111010001 1481346668 1851683335 2222020002 2962693336 3703366670 4444040004 5555050005 7406733340 8888080008 9258416675 11110100010 14813466680 18516833350 22220200020 27775250025 37033666700 44440400040 55550500050 74067333400 111101000100 222202000200