Search a number
-
+
3222300232320 = 273513231731327
BaseRepresentation
bin101110111001000000000…
…011111000101010000000
3102102001022122101010201220
4232321000003320222000
5410243232324413240
610504145420555040
7451542414024501
oct56710003705200
912361278333656
103222300232320
11103262a526544
124406059b2a80
131a4b27c50800
14b1d6298cba8
1558c4584e5d0
hex2ee400f8a80

3222300232320 has 384 divisors, whose sum is σ = 11157381987840. Its totient is φ = 790654205952.

The previous prime is 3222300232309. The next prime is 3222300232331. The reversal of 3222300232320 is 232320032223.

It is an interprime number because it is at equal distance from previous prime (3222300232309) and next prime (3222300232331).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 102844497 + ... + 102875823.

It is an arithmetic number, because the mean of its divisors is an integer number (29055682260).

Almost surely, 23222300232320 is an apocalyptic number.

3222300232320 is a gapful number since it is divisible by the number (30) 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 3222300232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578690993920).

3222300232320 is an abundant number, since it is smaller than the sum of its proper divisors (7935081755520).

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

3222300232320 is a wasteful number, since it uses less digits than its factorization.

3222300232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31692 (or 31667 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 3222300232320 its reverse (232320032223), we get a palindrome (3454620264543).

The spelling of 3222300232320 in words is "three trillion, two hundred twenty-two billion, three hundred million, two hundred thirty-two thousand, three hundred twenty".