Search a number
-
+
2244557888 = 26674991049
BaseRepresentation
bin1000010111001001…
…0011110001000000
312210102112100120122
42011302103301000
514044101323023
61010420355412
7106423266356
oct20562236100
95712470518
102244557888
11a51aa3621
12527845b68
1329a032981
141741597d6
15d20be2c8
hex85c93c40

2244557888 has 56 divisors (see below), whose sum is σ = 4533900000. Its totient is φ = 1102261248.

The previous prime is 2244557881. The next prime is 2244557893. The reversal of 2244557888 is 8887554422.

It is a happy number.

It is a super-2 number, since 2×22445578882 = 10076080225166041088, which contains 22 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2244557881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2139188 + ... + 2140236.

It is an arithmetic number, because the mean of its divisors is an integer number (80962500).

Almost surely, 22244557888 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 2244557888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266950000).

2244557888 is an abundant number, since it is smaller than the sum of its proper divisors (2289342112).

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

2244557888 is a wasteful number, since it uses less digits than its factorization.

2244557888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1617 counting only the distinct ones).

The product of its digits is 5734400, while the sum is 53.

The square root of 2244557888 is about 47376.7652758185. The cubic root of 2244557888 is about 1309.3133724717.

The spelling of 2244557888 in words is "two billion, two hundred forty-four million, five hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 67 134 268 499 536 998 1049 1072 1996 2098 2144 3992 4196 4288 7984 8392 15968 16784 31936 33433 33568 66866 67136 70283 133732 140566 267464 281132 523451 534928 562264 1046902 1069856 1124528 2093804 2139712 2249056 4187608 4498112 8375216 16750432 33500864 35071217 70142434 140284868 280569736 561139472 1122278944 2244557888