Search a number
-
+
2243540300 = 225247557857
BaseRepresentation
bin1000010110111001…
…1011010101001100
312210100121122201012
42011232123111030
514043321242200
61010342504352
7106411530551
oct20556332514
95710548635
102243540300
11a51469041
125274350b8
13299a67751
14173d72a28
15d1e6ca35
hex85b9b54c

2243540300 has 72 divisors (see below), whose sum is σ = 4986805824. Its totient is φ = 875722240.

The previous prime is 2243540263. The next prime is 2243540309. The reversal of 2243540300 is 30453422.

2243540300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2243540309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2617472 + ... + 2618328.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 22243540300 is an apocalyptic number.

2243540300 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 2243540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493402912).

2243540300 is an abundant number, since it is smaller than the sum of its proper divisors (2743265524).

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

2243540300 is a wasteful number, since it uses less digits than its factorization.

2243540300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2243540300 is about 47366.0247434804. The cubic root of 2243540300 is about 1309.1154800529.

Adding to 2243540300 its reverse (30453422), we get a palindrome (2273993722).

The spelling of 2243540300 in words is "two billion, two hundred forty-three million, five hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 557 857 940 1114 1175 1714 2228 2350 2785 3428 4285 4700 5570 8570 11140 13925 17140 21425 26179 27850 40279 42850 52358 55700 80558 85700 104716 130895 161116 201395 261790 402790 477349 523580 654475 805580 954698 1006975 1308950 1909396 2013950 2386745 2617900 4027900 4773490 9546980 11933725 22435403 23867450 44870806 47734900 89741612 112177015 224354030 448708060 560885075 1121770150 2243540300