Search a number
-
+
2232130321320 = 2335295318166863
BaseRepresentation
bin100000011110110101010…
…101011011101110101000
321220101111222222222022020
4200132311111123232220
5243032400330240240
64425232043224440
7320160161452164
oct40366525335650
97811458888266
102232130321320
11790706413a49
12300727b18120
131326483c17a3
147a06dcb9ca4
153d0e20d20d0
hex207b555bba8

2232130321320 has 256 divisors, whose sum is σ = 7097105433600. Its totient is φ = 560742174720.

The previous prime is 2232130321307. The next prime is 2232130321363. The reversal of 2232130321320 is 231230312322.

It is a super-3 number, since 3×22321303213203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33350209 + ... + 33417071.

It is an arithmetic number, because the mean of its divisors is an integer number (27723068100).

Almost surely, 22232130321320 is an apocalyptic number.

2232130321320 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 2232130321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548552716800).

2232130321320 is an abundant number, since it is smaller than the sum of its proper divisors (4864975112280).

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

2232130321320 is a wasteful number, since it uses less digits than its factorization.

2232130321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67140 (or 67136 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2232130321320 its reverse (231230312322), we get a palindrome (2463360633642).

The spelling of 2232130321320 in words is "two trillion, two hundred thirty-two billion, one hundred thirty million, three hundred twenty-one thousand, three hundred twenty".