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229493888 = 271321032
BaseRepresentation
bin11011010110111…
…00110010000000
3120222211111102122
431223130302000
5432222301023
634434503412
75454444251
oct1553346200
9528744378
10229493888
111085a8178
1264a34b68
1338712b00
142269cb28
15152332c8
hexdadcc80

229493888 has 72 divisors (see below), whose sum is σ = 499922145. Its totient is φ = 104891904.

The previous prime is 229493879. The next prime is 229493909. The reversal of 229493888 is 888394922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 196224064 + 33269824 = 14008^2 + 5768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10712.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2228045 + ... + 2228147.

Almost surely, 2229493888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229493888

229493888 is an abundant number, since it is smaller than the sum of its proper divisors (270428257).

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

229493888 is an equidigital number, since it uses as much as digits as its factorization.

229493888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 118 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 53.

The square root of 229493888 is about 15149.0556801406. The cubic root of 229493888 is about 612.2428301465.

The spelling of 229493888 in words is "two hundred twenty-nine million, four hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 169 206 208 338 412 416 676 824 832 1339 1352 1648 1664 2678 2704 3296 5356 5408 6592 10609 10712 10816 13184 17407 21218 21424 21632 34814 42436 42848 69628 84872 85696 137917 139256 169744 171392 275834 278512 339488 551668 557024 678976 1103336 1114048 1357952 1792921 2206672 2228096 3585842 4413344 7171684 8826688 14343368 17653376 28686736 57373472 114746944 229493888