Search a number
-
+
20334033200 = 245213172373137
BaseRepresentation
bin10010111100000000…
…001011100100110000
31221111010001220122202
4102330000023210300
5313121003030300
613201420522332
71316616300425
oct227400134460
957433056582
1020334033200
118695039118
123b359b03a8
131bc0960410
14dac7d7d4c
157e024dad5
hex4bc00b930

20334033200 has 480 divisors, whose sum is σ = 59353451136. Its totient is φ = 6617825280.

The previous prime is 20334033179. The next prime is 20334033241. The reversal of 20334033200 is 233043302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148423532 + ... + 148423668.

Almost surely, 220334033200 is an apocalyptic number.

20334033200 is a gapful number since it is divisible by the number (20) 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 20334033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29676725568).

20334033200 is an abundant number, since it is smaller than the sum of its proper divisors (39019417936).

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

20334033200 is a wasteful number, since it uses less digits than its factorization.

20334033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 20334033200 its reverse (233043302), we get a palindrome (20567076502).

The spelling of 20334033200 in words is "twenty billion, three hundred thirty-four million, thirty-three thousand, two hundred".