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2230544000 = 2753139409
BaseRepresentation
bin1000010011110011…
…0110011010000000
312202110011101010202
42010330312122000
514032004402000
61005200144332
7106163211506
oct20474663200
95673141122
102230544000
11a450a17a3
125230080a8
13297167129
1417234c676
15d0c51dd5
hex84f36680

2230544000 has 64 divisors (see below), whose sum is σ = 5545729800. Its totient is φ = 892211200.

The previous prime is 2230543993. The next prime is 2230544009. The reversal of 2230544000 is 4450322.

It can be written as a sum of positive squares in 4 ways, for example, as 128504896 + 2102039104 = 11336^2 + 45848^2 .

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 (20).

It is not an unprimeable number, because it can be changed into a prime (2230544009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53705 + ... + 85704.

Almost surely, 22230544000 is an apocalyptic number.

2230544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230544000 is an abundant number, since it is smaller than the sum of its proper divisors (3315185800).

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

2230544000 is an equidigital number, since it uses as much as digits as its factorization.

2230544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139438 (or 139416 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2230544000 is about 47228.6353815140. The cubic root of 2230544000 is about 1306.5827841936.

Adding to 2230544000 its reverse (4450322), we get a palindrome (2234994322).

The spelling of 2230544000 in words is "two billion, two hundred thirty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 139409 278818 557636 697045 1115272 1394090 2230544 2788180 3485225 4461088 5576360 6970450 8922176 11152720 13940900 17426125 17844352 22305440 27881800 34852250 44610880 55763600 69704500 89221760 111527200 139409000 223054400 278818000 446108800 557636000 1115272000 2230544000