Search a number
-
+
5000227200 = 273452101191
BaseRepresentation
bin1001010100000100…
…10110100110000000
3110220110210212020000
410222002112212000
540220024232300
62144100120000
7234624141603
oct45202264600
913813725200
105000227200
112136552781
12b76696000
13618c0b127
1435612033a
151e3e9dc00
hex12a096980

5000227200 has 480 divisors, whose sum is σ = 18732193920. Its totient is φ = 1313280000.

The previous prime is 5000227147. The next prime is 5000227223. The reversal of 5000227200 is 27220005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26179105 + ... + 26179295.

It is an arithmetic number, because the mean of its divisors is an integer number (39025404).

Almost surely, 25000227200 is an apocalyptic number.

5000227200 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 5000227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9366096960).

5000227200 is an abundant number, since it is smaller than the sum of its proper divisors (13731966720).

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

5000227200 is a wasteful number, since it uses less digits than its factorization.

5000227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5000227200 is about 70712.2846470117. The cubic root of 5000227200 is about 1710.0018467201.

Adding to 5000227200 its reverse (27220005), we get a palindrome (5027447205).

The spelling of 5000227200 in words is "five billion, two hundred twenty-seven thousand, two hundred".