Search a number
-
+
2325123840 = 28351347991
BaseRepresentation
bin1000101010010110…
…1001001100000000
320000001010112021210
42022211221030000
514230212430330
61022415250120
7111422140464
oct21245511400
96001115253
102325123840
11a93520a56
1254a819940
132b0930830
14180b2c4a4
15d91d58b0
hex8a969300

2325123840 has 288 divisors, whose sum is σ = 8175476736. Its totient is φ = 559595520.

The previous prime is 2325123811. The next prime is 2325123851. The reversal of 2325123840 is 483215232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2325123798 and 2325123807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345745 + ... + 2346735.

It is an arithmetic number, because the mean of its divisors is an integer number (28387072).

Almost surely, 22325123840 is an apocalyptic number.

2325123840 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 2325123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087738368).

2325123840 is an abundant number, since it is smaller than the sum of its proper divisors (5850352896).

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

2325123840 is a wasteful number, since it uses less digits than its factorization.

2325123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2325123840 is about 48219.5379488439. The cubic root of 2325123840 is about 1324.7950488741.

The spelling of 2325123840 in words is "two billion, three hundred twenty-five million, one hundred twenty-three thousand, eight hundred forty".