Search a number
-
+
2243012000 = 2553560753
BaseRepresentation
bin1000010110110001…
…1010010110100000
312210022121211000112
42011230122112200
514043202341000
61010323310452
7106404200405
oct20554322640
95708554015
102243012000
11a51138129
1252721b428
13299911148
14173c762ac
15d1db6235
hex85b1a5a0

2243012000 has 48 divisors (see below), whose sum is σ = 5511090312. Its totient is φ = 897203200.

The previous prime is 2243011949. The next prime is 2243012017. The reversal of 2243012000 is 2103422.

It can be written as a sum of positive squares in 4 ways, for example, as 75550864 + 2167461136 = 8692^2 + 46556^2 .

It is a super-2 number, since 2×22430120002 = 10062205664288000000, which contains 22 as substring.

It is an unprimeable number.

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, 276377 + ... + 284376.

Almost surely, 22243012000 is an apocalyptic number.

2243012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243012000 is an abundant number, since it is smaller than the sum of its proper divisors (3268078312).

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

2243012000 is an equidigital number, since it uses as much as digits as its factorization.

2243012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560778 (or 560760 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2243012000 is about 47360.4476330197. The cubic root of 2243012000 is about 1309.0127168738.

Adding to 2243012000 its reverse (2103422), we get a palindrome (2245115422).

The spelling of 2243012000 in words is "two billion, two hundred forty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 560753 1121506 2243012 2803765 4486024 5607530 8972048 11215060 14018825 17944096 22430120 28037650 44860240 56075300 70094125 89720480 112150600 140188250 224301200 280376500 448602400 560753000 1121506000 2243012000