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232423000 = 2353673469
BaseRepresentation
bin11011101101001…
…11111001011000
3121012100022102021
431312213321120
5434000014000
635021344224
75521364035
oct1566477130
9535308367
10232423000
1110a218927
1265a08074
13391ca104
1422c2238c
151561111a
hexdda7e58

232423000 has 64 divisors (see below), whose sum is σ = 552146400. Its totient is φ = 91555200.

The previous prime is 232422947. The next prime is 232423003. The reversal of 232423000 is 324232.

232423000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232423003) 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 15 ways as a sum of consecutive naturals, for example, 65266 + ... + 68734.

Almost surely, 2232423000 is an apocalyptic number.

232423000 is a gapful number since it is divisible by the number (20) 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 232423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276073200).

232423000 is an abundant number, since it is smaller than the sum of its proper divisors (319723400).

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

232423000 is a wasteful number, since it uses less digits than its factorization.

232423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232423000 is about 15245.4255434212. The cubic root of 232423000 is about 614.8365838094.

Adding to 232423000 its reverse (324232), we get a palindrome (232747232).

The spelling of 232423000 in words is "two hundred thirty-two million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 3469 6700 6938 8375 13400 13876 16750 17345 27752 33500 34690 67000 69380 86725 138760 173450 232423 346900 433625 464846 693800 867250 929692 1162115 1734500 1859384 2324230 3469000 4648460 5810575 9296920 11621150 23242300 29052875 46484600 58105750 116211500 232423000