Search a number
-
+
2224144300 = 225272453907
BaseRepresentation
bin1000010010010001…
…1011111110101100
312202000010020101211
42010210123332230
514023340104200
61004411044204
7106054625500
oct20444337654
95660106354
102224144300
11a41520594
12520a40664
13295a36221
14171564300
15d03daaba
hex8491bfac

2224144300 has 54 divisors (see below), whose sum is σ = 5614388052. Its totient is φ = 762562080.

The previous prime is 2224144283. The next prime is 2224144301. The reversal of 2224144300 is 34414222.

It is a happy number.

2224144300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2224144301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 222054 + ... + 231853.

Almost surely, 22224144300 is an apocalyptic number.

2224144300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224144300 is an abundant number, since it is smaller than the sum of its proper divisors (3390243752).

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

2224144300 is a wasteful number, since it uses less digits than its factorization.

2224144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453935 (or 453921 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2224144300 is about 47160.8343861726. The cubic root of 2224144300 is about 1305.3320059739.

Adding to 2224144300 its reverse (34414222), we get a palindrome (2258558522).

The spelling of 2224144300 in words is "two billion, two hundred twenty-four million, one hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 453907 907814 1815628 2269535 3177349 4539070 6354698 9078140 11347675 12709396 15886745 22241443 22695350 31773490 44482886 45390700 63546980 79433725 88965772 111207215 158867450 222414430 317734900 444828860 556036075 1112072150 2224144300