Search a number
-
+
2220133000 = 23534351631
BaseRepresentation
bin1000010001010100…
…1000101010001000
312201201120102221011
42010111020222020
514021323224000
61004145053304
7106005550651
oct20425105210
95651512834
102220133000
11a3a230868
1251b627234
13294c60487
14170bdc528
15ced972ba
hex84548a88

2220133000 has 64 divisors (see below), whose sum is σ = 5316030720. Its totient is φ = 867384000.

The previous prime is 2220132997. The next prime is 2220133051. The reversal of 2220133000 is 3310222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17185 + ... + 68815.

It is an arithmetic number, because the mean of its divisors is an integer number (83062980).

Almost surely, 22220133000 is an apocalyptic number.

2220133000 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 2220133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658015360).

2220133000 is an abundant number, since it is smaller than the sum of its proper divisors (3095897720).

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

2220133000 is a wasteful number, since it uses less digits than its factorization.

2220133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51695 (or 51681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2220133000 is about 47118.2873203176. The cubic root of 2220133000 is about 1304.5468007404.

Adding to 2220133000 its reverse (3310222), we get a palindrome (2223443222).

The spelling of 2220133000 in words is "two billion, two hundred twenty million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 43000 51631 103262 206524 258155 413048 516310 1032620 1290775 2065240 2220133 2581550 4440266 5163100 6453875 8880532 10326200 11100665 12907750 17761064 22201330 25815500 44402660 51631000 55503325 88805320 111006650 222013300 277516625 444026600 555033250 1110066500 2220133000