Search a number
-
+
5334331200 = 2635211313259
BaseRepresentation
bin1001111011111001…
…10110111101000000
3111202202111002202020
410331330312331000
541411042044300
62241153121440
7246122032002
oct47574667500
914682432666
105334331200
1122980aaa90
12104a559280
136701b9bc3
14388650372
152134978a0
hex13df36f40

5334331200 has 336 divisors, whose sum is σ = 19713976320. Its totient is φ = 1251072000.

The previous prime is 5334331193. The next prime is 5334331243. The reversal of 5334331200 is 21334335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635171 + ... + 1638429.

Almost surely, 25334331200 is an apocalyptic number.

5334331200 is a gapful number since it is divisible by the number (50) 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 5334331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9856988160).

5334331200 is an abundant number, since it is smaller than the sum of its proper divisors (14379645120).

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

5334331200 is a wasteful number, since it uses less digits than its factorization.

5334331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 5334331200 is about 73036.5059405226. The cubic root of 5334331200 is about 1747.2698872808.

Adding to 5334331200 its reverse (21334335), we get a palindrome (5355665535).

The spelling of 5334331200 in words is "five billion, three hundred thirty-four million, three hundred thirty-one thousand, two hundred".