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229864968 = 23324767927
BaseRepresentation
bin11011011001101…
…11011000001000
3121000112100110100
431230313120020
5432321134333
634450445400
75460551154
oct1554673010
9530470410
10229864968
11108830a53
1264b93860
1338812998
1422758064
15152a8213
hexdb37608

229864968 has 48 divisors (see below), whose sum is σ = 635806080. Its totient is φ = 74990304.

The previous prime is 229864963. The next prime is 229864981. The reversal of 229864968 is 869468922.

It is a happy number.

229864968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (229864961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30580 + ... + 37347.

It is an arithmetic number, because the mean of its divisors is an integer number (13245960).

Almost surely, 2229864968 is an apocalyptic number.

It is an amenable number.

229864968 is an abundant number, since it is smaller than the sum of its proper divisors (405941112).

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

229864968 is a wasteful number, since it uses less digits than its factorization.

229864968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67986 (or 67979 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 229864968 is about 15161.2983612882. The cubic root of 229864968 is about 612.5726410028.

The spelling of 229864968 in words is "two hundred twenty-nine million, eight hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 67927 135854 203781 271708 407562 543416 611343 815124 1222686 1630248 2445372 3192569 4890744 6385138 9577707 12770276 19155414 25540552 28733121 38310828 57466242 76621656 114932484 229864968