Search a number
-
+
2322001230000 = 24354373595827
BaseRepresentation
bin100001110010100010000…
…011101111100010110000
322012222111020222011102120
4201302202003233202300
5301020424303330000
64534413532514240
7326521232541204
oct41624203574260
98188436864376
102322001230000
118158341838a1
1231602961b980
1313ac6b555a6a
14805579b2b04
1540601e5e6a0
hex21ca20ef8b0

2322001230000 has 400 divisors, whose sum is σ = 7721085461760. Its totient is φ = 600683904000.

The previous prime is 2322001229957. The next prime is 2322001230011. The reversal of 2322001230000 is 321002232.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 398487087 + ... + 398492913.

Almost surely, 22322001230000 is an apocalyptic number.

2322001230000 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 2322001230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860542730880).

2322001230000 is an abundant number, since it is smaller than the sum of its proper divisors (5399084231760).

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

2322001230000 is a wasteful number, since it uses less digits than its factorization.

2322001230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2322001230000 its reverse (321002232), we get a palindrome (2322322232232).

The spelling of 2322001230000 in words is "two trillion, three hundred twenty-two billion, one million, two hundred thirty thousand".