Search a number
-
+
30233032200 = 23325278328909
BaseRepresentation
bin11100001010000001…
…110111011000001000
32220000222210011110100
4130022001313120020
5443404124012300
621515554445400
72120126351010
oct341201673010
986028704410
1030233032200
1111904838628
125a38b93860
132b0a746587
14166b388c40
15bbe30a700
hex70a077608

30233032200 has 288 divisors, whose sum is σ = 117439358400. Its totient is φ = 6826913280.

The previous prime is 30233032183. The next prime is 30233032213. The reversal of 30233032200 is 223033203.

30233032200 is a `hidden beast` number, since 302 + 330 + 32 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1031346 + ... + 1060254.

It is an arithmetic number, because the mean of its divisors is an integer number (407775550).

Almost surely, 230233032200 is an apocalyptic number.

30233032200 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 30233032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58719679200).

30233032200 is an abundant number, since it is smaller than the sum of its proper divisors (87206326200).

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

30233032200 is a wasteful number, since it uses less digits than its factorization.

30233032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29021 (or 29009 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30233032200 its reverse (223033203), we get a palindrome (30456065403).

The spelling of 30233032200 in words is "thirty billion, two hundred thirty-three million, thirty-two thousand, two hundred".