Search a number
-
+
30022332300 = 223252533531783
BaseRepresentation
bin11011111101011110…
…000110111110001100
32212111022022111112100
4123331132012332030
5442441204113200
621443030435100
72111660420412
oct337536067614
985438274470
1030022332300
1111806907684
12599a502a90
132aa5bb3c8c
14164b3bd2b2
15baaa8ad00
hex6fd786f8c

30022332300 has 216 divisors, whose sum is σ = 96204405024. Its totient is φ = 7828254720.

The previous prime is 30022332293. The next prime is 30022332413. The reversal of 30022332300 is 323322003.

30022332300 is a `hidden beast` number, since 30 + 0 + 2 + 2 + 332 + 300 = 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, 16837209 + ... + 16838991.

It is an arithmetic number, because the mean of its divisors is an integer number (445390764).

Almost surely, 230022332300 is an apocalyptic number.

30022332300 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 30022332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48102202512).

30022332300 is an abundant number, since it is smaller than the sum of its proper divisors (66182072724).

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

30022332300 is a wasteful number, since it uses less digits than its factorization.

30022332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2199 counting only the distinct ones).

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

Adding to 30022332300 its reverse (323322003), we get a palindrome (30345654303).

The spelling of 30022332300 in words is "thirty billion, twenty-two million, three hundred thirty-two thousand, three hundred".