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2330000 = 2454233
BaseRepresentation
bin1000111000110110010000
311101101011022
420320312100
51044030000
6121535012
725543001
oct10706620
94341138
102330000
111351622
12944468
136376ca
144491a8
15310585
hex238d90

2330000 has 50 divisors (see below), whose sum is σ = 5665374. Its totient is φ = 928000.

The previous prime is 2329997. The next prime is 2330021. The reversal of 2330000 is 332.

It can be written as a sum of positive squares in 5 ways, for example, as 1281424 + 1048576 = 1132^2 + 1024^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2330000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9884 + ... + 10116.

22330000 is an apocalyptic number.

2330000 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 2330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832687).

2330000 is an abundant number, since it is smaller than the sum of its proper divisors (3335374).

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

2330000 is an equidigital number, since it uses as much as digits as its factorization.

2330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 2330000 is about 1526.4337522474. The cubic root of 2330000 is about 132.5720505251.

Adding to 2330000 its reverse (332), we get a palindrome (2330332).

The spelling of 2330000 in words is "two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 233 250 400 466 500 625 932 1000 1165 1250 1864 2000 2330 2500 3728 4660 5000 5825 9320 10000 11650 18640 23300 29125 46600 58250 93200 116500 145625 233000 291250 466000 582500 1165000 2330000