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4228118224 = 2411226710597
BaseRepresentation
bin1111110000000011…
…1111011011010000
3101220122221122211021
43330000333123100
532124344240344
61535315125224
7206530261201
oct37400773320
911818848737
104228118224
11187a731890
1299bba3814
13524c72305
142c17755a8
1519b2d5b84
hexfc03f6d0

4228118224 has 40 divisors (see below), whose sum is σ = 8941490208. Its totient is φ = 1920842880.

The previous prime is 4228118207. The next prime is 4228118227.

4228118224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42281182242 = 35753967432241828352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4228118224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228118227) 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, 393694 + ... + 404290.

Almost surely, 24228118224 is an apocalyptic number.

4228118224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4228118224 is an abundant number, since it is smaller than the sum of its proper divisors (4713371984).

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

4228118224 is a wasteful number, since it uses less digits than its factorization.

4228118224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12877 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 4228118224 is about 65023.9819143676. The cubic root of 4228118224 is about 1617.0211763648.

The spelling of 4228118224 in words is "four billion, two hundred twenty-eight million, one hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2267 4534 9068 10597 18136 21194 24937 36272 42388 49874 84776 99748 116567 169552 199496 233134 398992 466268 932536 1865072 24023399 48046798 96093596 192187192 264257389 384374384 528514778 1057029556 2114059112 4228118224