Search a number
-
+
2243548472 = 23111031271949
BaseRepresentation
bin1000010110111001…
…1101010100111000
312210100122001220212
42011232131110320
514043322022342
61010343010252
7106411563434
oct20556352470
95710561825
102243548472
11a514741a0
12527439988
13299a6b399
14173d759c4
15d1e70182
hex85b9d538

2243548472 has 64 divisors (see below), whose sum is σ = 4672512000. Its totient is φ = 1001427840.

The previous prime is 2243548471. The next prime is 2243548477. The reversal of 2243548472 is 2748453422.

2243548472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243548471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150154 + ... + 1152102.

It is an arithmetic number, because the mean of its divisors is an integer number (73008000).

Almost surely, 22243548472 is an apocalyptic number.

2243548472 is a gapful number since it is divisible by the number (22) 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 2243548472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336256000).

2243548472 is an abundant number, since it is smaller than the sum of its proper divisors (2428963528).

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

2243548472 is a wasteful number, since it uses less digits than its factorization.

2243548472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2192 counting only the distinct ones).

The product of its digits is 430080, while the sum is 41.

The square root of 2243548472 is about 47366.1110077659. Note that the first 3 decimals coincide. The cubic root of 2243548472 is about 1309.1170695167.

It can be divided in two parts, 22435 and 48472, that added together give a palindrome (70907).

The spelling of 2243548472 in words is "two billion, two hundred forty-three million, five hundred forty-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 103 127 206 254 412 508 824 1016 1133 1397 1949 2266 2794 3898 4532 5588 7796 9064 11176 13081 15592 21439 26162 42878 52324 85756 104648 143891 171512 200747 247523 287782 401494 495046 575564 802988 990092 1151128 1605976 1980184 2208217 2722753 4416434 5445506 8832868 10891012 17665736 21782024 25494869 50989738 101979476 203958952 280443559 560887118 1121774236 2243548472