Search a number
-
+
20002132200 = 233521910916097
BaseRepresentation
bin10010101000001110…
…000101000011101000
31220121222112121002010
4102220032011003220
5311431021212300
613104443035520
71305446214141
oct225016050350
956558477063
1020002132200
118534755a76
123a6280bba0
131b69c732ab
14d7a6bcac8
157c103ca50
hex4a83850e8

20002132200 has 192 divisors, whose sum is σ = 65873016000. Its totient is φ = 5006499840.

The previous prime is 20002132127. The next prime is 20002132223. The reversal of 20002132200 is 223120002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 1234552 + ... + 1250648.

It is an arithmetic number, because the mean of its divisors is an integer number (343088625).

Almost surely, 220002132200 is an apocalyptic number.

20002132200 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 20002132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32936508000).

20002132200 is an abundant number, since it is smaller than the sum of its proper divisors (45870883800).

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

20002132200 is a wasteful number, since it uses less digits than its factorization.

20002132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20002132200 its reverse (223120002), we get a palindrome (20225252202).

It can be divided in two parts, 200021 and 32200, that added together give a triangular number (232221 = T681).

The spelling of 20002132200 in words is "twenty billion, two million, one hundred thirty-two thousand, two hundred".