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230732832 = 253111511447
BaseRepresentation
bin11011100000010…
…11010000100000
3121002011102221110
431300023100200
5433031422312
634521223320
75501124321
oct1560132040
9532142843
10230732832
11109273aa0
1265331b40
1338a57a05
1422902448
15153ca43c
hexdc0b420

230732832 has 96 divisors (see below), whose sum is σ = 665570304. Its totient is φ = 69408000.

The previous prime is 230732819. The next prime is 230732837. The reversal of 230732832 is 238237032.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 230732832.

It is not an unprimeable number, because it can be changed into a prime (230732837) 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, 158733 + ... + 160179.

It is an arithmetic number, because the mean of its divisors is an integer number (6933024).

Almost surely, 2230732832 is an apocalyptic number.

230732832 is a gapful number since it is divisible by the number (22) 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 230732832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332785152).

230732832 is an abundant number, since it is smaller than the sum of its proper divisors (434837472).

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

230732832 is a wasteful number, since it uses less digits than its factorization.

230732832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 230732832 is about 15189.8924288489. The cubic root of 230732832 is about 613.3426033045.

Adding to 230732832 its reverse (238237032), we get a palindrome (468969864).

The spelling of 230732832 in words is "two hundred thirty million, seven hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 352 453 528 604 906 1056 1208 1447 1661 1812 2416 2894 3322 3624 4341 4832 4983 5788 6644 7248 8682 9966 11576 13288 14496 15917 17364 19932 23152 26576 31834 34728 39864 46304 47751 53152 63668 69456 79728 95502 127336 138912 159456 191004 218497 254672 382008 436994 509344 655491 764016 873988 1310982 1528032 1747976 2403467 2621964 3495952 4806934 5243928 6991904 7210401 9613868 10487856 14420802 19227736 20975712 28841604 38455472 57683208 76910944 115366416 230732832