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229973454 = 232191494513
BaseRepresentation
bin11011011010100…
…01110111001110
3121000201212021100
431231101313032
5432333122304
634453043530
75461512354
oct1555216716
9530655240
10229973454
111088a5507
12650265a6
1338850189
14227857d4
15152ca439
hexdb51dce

229973454 has 48 divisors (see below), whose sum is σ = 528138000. Its totient is φ = 72119808.

The previous prime is 229973437. The next prime is 229973459. The reversal of 229973454 is 454379922.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229973459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48702 + ... + 53214.

It is an arithmetic number, because the mean of its divisors is an integer number (11002875).

Almost surely, 2229973454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229973454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264069000).

229973454 is an abundant number, since it is smaller than the sum of its proper divisors (298164546).

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

229973454 is a wasteful number, since it uses less digits than its factorization.

229973454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4686 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 229973454 is about 15164.8756671461. The cubic root of 229973454 is about 612.6689948233.

The spelling of 229973454 in words is "two hundred twenty-nine million, nine hundred seventy-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 149 171 298 342 447 894 1341 2682 2831 4513 5662 8493 9026 13539 16986 25479 27078 40617 50958 81234 85747 171494 257241 514482 672437 771723 1344874 1543446 2017311 4034622 6051933 12103866 12776303 25552606 38328909 76657818 114986727 229973454