Search a number
-
+
4225041200 = 245261317231
BaseRepresentation
bin1111101111010101…
…0000001100110000
3101220110011022221102
43323311100030300
532123102304300
61535125143532
7206462154242
oct37365201460
911813138842
104225041200
111878a1aa96
1299ab5aba8
135244358a3
142c11b4092
1519adc90d5
hexfbd50330

4225041200 has 60 divisors (see below), whose sum is σ = 10167810528. Its totient is φ = 1687161600.

The previous prime is 4225041199. The next prime is 4225041209. The reversal of 4225041200 is 21405224.

It is a happy number.

4225041200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4225041209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236585 + ... + 253815.

Almost surely, 24225041200 is an apocalyptic number.

4225041200 is a gapful number since it is divisible by the number (40) 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 4225041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083905264).

4225041200 is an abundant number, since it is smaller than the sum of its proper divisors (5942769328).

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

4225041200 is a wasteful number, since it uses less digits than its factorization.

4225041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17851 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4225041200 is about 65000.3169223043. The cubic root of 4225041200 is about 1616.6288173848.

Adding to 4225041200 its reverse (21405224), we get a palindrome (4246446424).

The spelling of 4225041200 in words is "four billion, two hundred twenty-five million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 613 1226 2452 3065 4904 6130 9808 12260 15325 17231 24520 30650 34462 49040 61300 68924 86155 122600 137848 172310 245200 275696 344620 430775 689240 861550 1378480 1723100 3446200 6892400 10562603 21125206 42250412 52813015 84500824 105626030 169001648 211252060 264065075 422504120 528130150 845008240 1056260300 2112520600 4225041200