Search a number
-
+
2242124000 = 2553560531
BaseRepresentation
bin1000010110100100…
…0001100011100000
312210020221200220122
42011221001203200
514042440432000
61010252255412
7106363511444
oct20551014340
95706850818
102242124000
11a50690a46
12526a71568
1329968cbbc
14173ac4824
15d1c8d085
hex85a418e0

2242124000 has 48 divisors (see below), whose sum is σ = 5508908496. Its totient is φ = 896848000.

The previous prime is 2242123997. The next prime is 2242124029. The reversal of 2242124000 is 4212422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242124000.

It is a congruent number.

It is an unprimeable number.

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, 276266 + ... + 284265.

It is an arithmetic number, because the mean of its divisors is an integer number (114768927).

Almost surely, 22242124000 is an apocalyptic number.

2242124000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242124000 is an abundant number, since it is smaller than the sum of its proper divisors (3266784496).

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

2242124000 is an equidigital number, since it uses as much as digits as its factorization.

2242124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560556 (or 560538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2242124000 is about 47351.0717935719. The cubic root of 2242124000 is about 1308.8399496716.

Adding to 2242124000 its reverse (4212422), we get a palindrome (2246336422).

The spelling of 2242124000 in words is "two billion, two hundred forty-two million, one hundred twenty-four 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 560531 1121062 2242124 2802655 4484248 5605310 8968496 11210620 14013275 17936992 22421240 28026550 44842480 56053100 70066375 89684960 112106200 140132750 224212400 280265500 448424800 560531000 1121062000 2242124000