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2325888 = 2733673
BaseRepresentation
bin1000110111110110000000
311101011112000
420313312000
51043412023
6121504000
725525005
oct10676600
94334460
102325888
111349524
12942000
13635886
144478ac
1530e243
hex237d80

2325888 has 64 divisors (see below), whose sum is σ = 6874800. Its totient is φ = 774144.

The previous prime is 2325881. The next prime is 2325901. The reversal of 2325888 is 8885232.

2325888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 213 + 33 + 216 + 59 + 84 + 85 + 86 .

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3120 + ... + 3792.

22325888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437400).

2325888 is an abundant number, since it is smaller than the sum of its proper divisors (4548912).

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

2325888 is an equidigital number, since it uses as much as digits as its factorization.

2325888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 678 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2325888 is about 1525.0862270705. The cubic root of 2325888 is about 132.4940165804.

The spelling of 2325888 in words is "two million, three hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 673 864 1152 1346 1728 2019 2692 3456 4038 5384 6057 8076 10768 12114 16152 18171 21536 24228 32304 36342 43072 48456 64608 72684 86144 96912 129216 145368 193824 258432 290736 387648 581472 775296 1162944 2325888