Search a number
-
+
2220389136 = 2432723110151
BaseRepresentation
bin1000010001011000…
…0111001100010000
312201202001110021200
42010112013030100
514021404423021
61004154351200
7106010665500
oct20426071420
95652043250
102220389136
11a3a396249
1251b72b500
1329501cc34
14170c67a00
15cede8126
hex84587310

2220389136 has 180 divisors, whose sum is σ = 7462450944. Its totient is φ = 613872000.

The previous prime is 2220389131. The next prime is 2220389161. The reversal of 2220389136 is 6319830222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2220389136.

It is not an unprimeable number, because it can be changed into a prime (2220389131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213661 + ... + 223811.

Almost surely, 22220389136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220389136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731225472).

2220389136 is an abundant number, since it is smaller than the sum of its proper divisors (5242061808).

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

2220389136 is a wasteful number, since it uses less digits than its factorization.

2220389136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10194 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2220389136 is about 47121.0052524349. The cubic root of 2220389136 is about 1304.5969671870.

The spelling of 2220389136 in words is "two billion, two hundred twenty million, three hundred eighty-nine thousand, one hundred thirty-six".