Search a number
-
+
2000320132224 = 2731011032931709
BaseRepresentation
bin11101000110111100010…
…111101111010010000000
321002020011202020020211010
4131012330113233102000
5230233123423212344
64130533454320520
7264342540404121
oct35067427572200
97066152206733
102000320132224
11701370625977
122838131b9140
1311682499081b
146cb5d1c4048
15370761668b9
hex1d1bc5ef480

2000320132224 has 256 divisors, whose sum is σ = 5439727238400. Its totient is φ = 651149721600.

The previous prime is 2000320132199. The next prime is 2000320132253. The reversal of 2000320132224 is 4222310230002.

It is a self number, because there is not a number n which added to its sum of digits gives 2000320132224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170461482 + ... + 1170463190.

It is an arithmetic number, because the mean of its divisors is an integer number (21248934525).

Almost surely, 22000320132224 is an apocalyptic number.

2000320132224 is a gapful number since it is divisible by the number (24) 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 2000320132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719863619200).

2000320132224 is an abundant number, since it is smaller than the sum of its proper divisors (3439407106176).

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

2000320132224 is a wasteful number, since it uses less digits than its factorization.

2000320132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2000320132224 its reverse (4222310230002), we get a palindrome (6222630362226).

The spelling of 2000320132224 in words is "two trillion, three hundred twenty million, one hundred thirty-two thousand, two hundred twenty-four".