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230002024 = 23723283631
BaseRepresentation
bin11011011010110…
…00110101101000
3121000210022110111
431231120311220
5432340031044
634453424104
75461661560
oct1555306550
9530708414
10230002024
11108914a1a
126503b034
1338860195
1422791da0
15152d3b34
hexdb58d68

230002024 has 64 divisors (see below), whose sum is σ = 516925440. Its totient is φ = 93804480.

The previous prime is 230002021. The next prime is 230002037. The reversal of 230002024 is 420200032.

It is a junction number, because it is equal to n+sod(n) for n = 230001995 and 230002013.

It is not an unprimeable number, because it can be changed into a prime (230002021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364189 + ... + 364819.

It is an arithmetic number, because the mean of its divisors is an integer number (8076960).

Almost surely, 2230002024 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 230002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258462720).

230002024 is an abundant number, since it is smaller than the sum of its proper divisors (286923416).

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

230002024 is a wasteful number, since it uses less digits than its factorization.

230002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 230002024 is about 15165.8176172602. The cubic root of 230002024 is about 612.6943647491.

Adding to 230002024 its reverse (420200032), we get a palindrome (650202056).

The spelling of 230002024 in words is "two hundred thirty million, two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 283 322 566 631 644 1132 1262 1288 1981 2264 2524 3962 4417 5048 6509 7924 8834 13018 14513 15848 17668 26036 29026 35336 45563 52072 58052 91126 101591 116104 178573 182252 203182 357146 364504 406364 714292 812728 1250011 1428584 2500022 4107179 5000044 8214358 10000088 16428716 28750253 32857432 57500506 115001012 230002024