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229290768 = 24327227471
BaseRepresentation
bin11011010101010…
…11001100010000
3120222110011210200
431222223030100
5432144301033
634430255200
75452640130
oct1552531420
9528404720
10229290768
11108479603
1264957500
1338671515
1422648ac0
15151e3013
hexdaab310

229290768 has 60 divisors (see below), whose sum is σ = 733369728. Its totient is φ = 65511360.

The previous prime is 229290767. The next prime is 229290779. The reversal of 229290768 is 867092922.

229290768 is digitally balanced in base 3, 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 (229290767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 112728 + ... + 114743.

Almost surely, 2229290768 is an apocalyptic number.

229290768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

229290768 is an abundant number, since it is smaller than the sum of its proper divisors (504078960).

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

229290768 is a wasteful number, since it uses less digits than its factorization.

229290768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227492 (or 227483 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 229290768 is about 15142.3501478469. The cubic root of 229290768 is about 612.0621492696.

The spelling of 229290768 in words is "two hundred twenty-nine million, two hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 227471 454942 682413 909884 1364826 1592297 1819768 2047239 2729652 3184594 3639536 4094478 4776891 5459304 6369188 8188956 9553782 10918608 12738376 14330673 16377912 19107564 25476752 28661346 32755824 38215128 57322692 76430256 114645384 229290768