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229790664 = 233229167659
BaseRepresentation
bin11011011001001…
…01001111001000
3121000101120112100
431230211033020
5432311300124
634445113400
75460121425
oct1554451710
9530346470
10229790664
11108790144
1264b58860
13387b7c0c
1422738d4c
15152911c9
hexdb253c8

229790664 has 96 divisors (see below), whose sum is σ = 648648000. Its totient is φ = 73401216.

The previous prime is 229790651. The next prime is 229790681. The reversal of 229790664 is 466097922.

229790664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348367 + ... + 349025.

It is an arithmetic number, because the mean of its divisors is an integer number (6756750).

Almost surely, 2229790664 is an apocalyptic number.

229790664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229790664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324324000).

229790664 is an abundant number, since it is smaller than the sum of its proper divisors (418857336).

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

229790664 is a wasteful number, since it uses less digits than its factorization.

229790664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 229790664 is about 15158.8477134642. The cubic root of 229790664 is about 612.5066290550.

The spelling of 229790664 in words is "two hundred twenty-nine million, seven hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 167 174 232 261 334 348 501 522 659 668 696 1002 1044 1318 1336 1503 1977 2004 2088 2636 3006 3954 4008 4843 5272 5931 6012 7908 9686 11862 12024 14529 15816 19111 19372 23724 29058 38222 38744 43587 47448 57333 58116 76444 87174 110053 114666 116232 152888 171999 174348 220106 229332 330159 343998 348696 440212 458664 660318 687996 880424 990477 1320636 1375992 1980954 2641272 3191537 3961908 6383074 7923816 9574611 12766148 19149222 25532296 28723833 38298444 57447666 76596888 114895332 229790664