Search a number
-
+
30019795200 = 283252521177
BaseRepresentation
bin11011111101010100…
…011011100100000000
32212111010112121021200
4123331110123210000
5442440031421300
621442500221200
72111630022543
oct337524334400
985433477250
1030019795200
11118054344aa
12599969a800
132aa5506235
14164ad1c85a
15baa739200
hex6fd51b900

30019795200 has 162 divisors, whose sum is σ = 107327749074. Its totient is φ = 8005263360.

The previous prime is 30019795193. The next prime is 30019795213. The reversal of 30019795200 is 259791003.

It can be written as a sum of positive squares in 3 ways, for example, as 5773568256 + 24246226944 = 75984^2 + 155712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202989 + ... + 318188.

Almost surely, 230019795200 is an apocalyptic number.

30019795200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30019795200 is an abundant number, since it is smaller than the sum of its proper divisors (77307953874).

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

30019795200 is a wasteful number, since it uses less digits than its factorization.

30019795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521209 (or 521187 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 30019795200 in words is "thirty billion, nineteen million, seven hundred ninety-five thousand, two hundred".