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230754528 = 2533409653
BaseRepresentation
bin11011100000100…
…00100011100000
3121002012112201000
431300100203200
5433033121103
634521512000
75501244504
oct1560204340
9532175630
10230754528
11109289324
1265342600
1338a64854
142290a304
15153d1aa3
hexdc108e0

230754528 has 96 divisors (see below), whose sum is σ = 675712800. Its totient is φ = 76612608.

The previous prime is 230754523. The next prime is 230754569. The reversal of 230754528 is 825457032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230754492 and 230754501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230754523) 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, 353050 + ... + 353702.

It is an arithmetic number, because the mean of its divisors is an integer number (7038675).

Almost surely, 2230754528 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 230754528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337856400).

230754528 is an abundant number, since it is smaller than the sum of its proper divisors (444958272).

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

230754528 is a wasteful number, since it uses less digits than its factorization.

230754528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 230754528 is about 15190.6065711676. The cubic root of 230754528 is about 613.3618270736.

The spelling of 230754528 in words is "two hundred thirty million, seven hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 409 432 653 818 864 1227 1306 1636 1959 2454 2612 3272 3681 3918 4908 5224 5877 6544 7362 7836 9816 10448 11043 11754 13088 14724 15672 17631 19632 20896 22086 23508 29448 31344 35262 39264 44172 47016 58896 62688 70524 88344 94032 117792 141048 176688 188064 267077 282096 353376 534154 564192 801231 1068308 1602462 2136616 2403693 3204924 4273232 4807386 6409848 7211079 8546464 9614772 12819696 14422158 19229544 25639392 28844316 38459088 57688632 76918176 115377264 230754528