Search a number
-
+
30316255200 = 253252711149367
BaseRepresentation
bin11100001110111111…
…010101011111100000
32220020210101022221200
4130032333111133200
5444041430131300
621532130321200
72122156626450
oct341677253740
986223338850
1030316255200
1111947810270
125a60a29200
132b21a6495a
14167844dd60
15bc6799200
hex70efd57e0

30316255200 has 864 divisors, whose sum is σ = 134541388800. Its totient is φ = 6240153600.

The previous prime is 30316255187. The next prime is 30316255223. The reversal of 30316255200 is 255261303.

30316255200 is a `hidden beast` number, since 3 + 0 + 31 + 625 + 5 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82605417 + ... + 82605783.

It is an arithmetic number, because the mean of its divisors is an integer number (155719200).

Almost surely, 230316255200 is an apocalyptic number.

30316255200 is a gapful number since it is divisible by the number (30) 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 30316255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67270694400).

30316255200 is an abundant number, since it is smaller than the sum of its proper divisors (104225133600).

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

30316255200 is a wasteful number, since it uses less digits than its factorization.

30316255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 30316255200 in words is "thirty billion, three hundred sixteen million, two hundred fifty-five thousand, two hundred".