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2328500 = 22534657
BaseRepresentation
bin1000111000011110110100
311101022002202
420320132310
51044003000
6121524032
725535426
oct10703664
94338082
102328500
111350489
12943618
13636b15
14448816
1530edd5
hex2387b4

2328500 has 24 divisors (see below), whose sum is σ = 5086536. Its totient is φ = 931200.

The previous prime is 2328479. The next prime is 2328509. The reversal of 2328500 is 58232.

2328500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 401956 + 1926544 = 634^2 + 1388^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328509) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1829 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (211939).

22328500 is an apocalyptic number.

2328500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2328500 is an abundant number, since it is smaller than the sum of its proper divisors (2758036).

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

2328500 is a wasteful number, since it uses less digits than its factorization.

2328500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2328500 is about 1525.9423318068. The cubic root of 2328500 is about 132.5435954801.

The spelling of 2328500 in words is "two million, three hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 4657 9314 18628 23285 46570 93140 116425 232850 465700 582125 1164250 2328500