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230032524 = 223293121323
BaseRepresentation
bin11011011011000…
…00010010001100
3121000211212022010
431231200102030
5432342020044
634454221220
75462146521
oct1555402214
9530755263
10230032524
11108935927
1265054810
1338871027
142279d148
15152dcbb9
hexdb6048c

230032524 has 48 divisors (see below), whose sum is σ = 573189120. Its totient is φ = 71641920.

The previous prime is 230032483. The next prime is 230032529. The reversal of 230032524 is 425230032.

230032524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230032524.

It is not an unprimeable number, because it can be changed into a prime (230032529) 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, 127 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (11941440).

Almost surely, 2230032524 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 230032524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286594560).

230032524 is an abundant number, since it is smaller than the sum of its proper divisors (343156596).

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

230032524 is a wasteful number, since it uses less digits than its factorization.

230032524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21390 (or 21388 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 230032524 is about 15166.8231347240. The cubic root of 230032524 is about 612.7214461806.

Adding to 230032524 its reverse (425230032), we get a palindrome (655262556).

The spelling of 230032524 in words is "two hundred thirty million, thirty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 21323 42646 63969 85292 127938 255876 618367 661013 1236734 1322026 1855101 1983039 2473468 2644052 3710202 3966078 7420404 7932156 19169377 38338754 57508131 76677508 115016262 230032524