Search a number
-
+
2331000320 = 29511235961
BaseRepresentation
bin1000101011110000…
…0011111000000000
320000110012002022012
42022330003320000
514233214002240
61023145232052
7111523114205
oct21274037000
96013162265
102331000320
11a96875050
12550792628
132b1c0a53c
1418181bcac
15d9996b65
hex8af03e00

2331000320 has 320 divisors, whose sum is σ = 6576007680. Its totient is φ = 783974400.

The previous prime is 2331000317. The next prime is 2331000341. The reversal of 2331000320 is 230001332.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 2331000295 and 2331000304.

It is a congruent number.

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, 38213090 + ... + 38213150.

It is an arithmetic number, because the mean of its divisors is an integer number (20550024).

Almost surely, 22331000320 is an apocalyptic number.

2331000320 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 2331000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288003840).

2331000320 is an abundant number, since it is smaller than the sum of its proper divisors (4245007360).

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

2331000320 is a wasteful number, since it uses less digits than its factorization.

2331000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2331000320 is about 48280.4341322652. The cubic root of 2331000320 is about 1325.9101983839.

Adding to 2331000320 its reverse (230001332), we get a palindrome (2561001652).

The spelling of 2331000320 in words is "two billion, three hundred thirty-one million, three hundred twenty", and thus it is an aban number.