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229695768 = 233247103659
BaseRepresentation
bin11011011000011…
…10000100011000
3121000012202100200
431230032010120
5432300231033
634443102200
75456244651
oct1554160430
9530182320
10229695768
11108725915
1264b11960
1338783973
1422712528
1515273013
hexdb0e118

229695768 has 96 divisors (see below), whose sum is σ = 642470400. Its totient is φ = 74096064.

The previous prime is 229695761. The next prime is 229695787. The reversal of 229695768 is 867596922.

229695768 is a `hidden beast` number, since 2 + 2 + 9 + 69 + 576 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229695761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348223 + ... + 348881.

It is an arithmetic number, because the mean of its divisors is an integer number (6692400).

Almost surely, 2229695768 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 229695768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321235200).

229695768 is an abundant number, since it is smaller than the sum of its proper divisors (412774632).

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

229695768 is a wasteful number, since it uses less digits than its factorization.

229695768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 229695768 is about 15155.7173370316. The cubic root of 229695768 is about 612.4223024030.

The spelling of 229695768 in words is "two hundred twenty-nine million, six hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 103 141 188 206 282 309 376 412 423 564 618 659 824 846 927 1128 1236 1318 1692 1854 1977 2472 2636 3384 3708 3954 4841 5272 5931 7416 7908 9682 11862 14523 15816 19364 23724 29046 30973 38728 43569 47448 58092 61946 67877 87138 92919 116184 123892 135754 174276 185838 203631 247784 271508 278757 348552 371676 407262 543016 557514 610893 743352 814524 1115028 1221786 1629048 2230056 2443572 3190219 4887144 6380438 9570657 12760876 19141314 25521752 28711971 38282628 57423942 76565256 114847884 229695768