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2145200224 = 251091514073
BaseRepresentation
bin111111111011101…
…0010100001100000
312112111120110111011
41333313102201200
513343132401344
6552511030304
7104105621026
oct17767224140
95474513434
102145200224
11a00a00752
124ba50b394
1328258565b
14164c94716
15c84e4d34
hex7fdd2860

2145200224 has 48 divisors (see below), whose sum is σ = 4291388640. Its totient is φ = 1055462400.

The previous prime is 2145200203. The next prime is 2145200227. The reversal of 2145200224 is 4220025412.

It is a junction number, because it is equal to n+sod(n) for n = 2145200195 and 2145200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145200227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 524652 + ... + 528724.

It is an arithmetic number, because the mean of its divisors is an integer number (89403930).

Almost surely, 22145200224 is an apocalyptic number.

It is an amenable number.

2145200224 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2145200224 is a wasteful number, since it uses less digits than its factorization.

2145200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2145200224 is about 46316.3062430501. The cubic root of 2145200224 is about 1289.7017165837.

Adding to 2145200224 its reverse (4220025412), we get a palindrome (6365225636).

The spelling of 2145200224 in words is "two billion, one hundred forty-five million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 109 151 218 302 436 604 872 1208 1744 2416 3488 4073 4832 8146 16292 16459 32584 32918 65168 65836 130336 131672 263344 443957 526688 615023 887914 1230046 1775828 2460092 3551656 4920184 7103312 9840368 14206624 19680736 67037507 134075014 268150028 536300056 1072600112 2145200224