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230360832 = 2832137691
BaseRepresentation
bin11011011101100…
…00011100000000
3121001110112122200
431232300130000
5432433021312
634505233200
75465014632
oct1556603400
9531415580
10230360832
1110903a559
1265192800
13389575b0
1422846a52
15153550dc
hexdbb0700

230360832 has 108 divisors (see below), whose sum is σ = 715371384. Its totient is φ = 70871040.

The previous prime is 230360831. The next prime is 230360857. The reversal of 230360832 is 238063032.

230360832 is a `hidden beast` number, since 23 + 0 + 3 + 608 + 32 = 666.

It is a super-2 number, since 2×2303608322 = 106132225839464448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230360796 and 230360805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230360831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26107 + ... + 33797.

Almost surely, 2230360832 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 230360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357685692).

230360832 is an abundant number, since it is smaller than the sum of its proper divisors (485010552).

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

230360832 is a wasteful number, since it uses less digits than its factorization.

230360832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230360832 is about 15177.6425046843. The cubic root of 230360832 is about 613.0128045852.

The spelling of 230360832 in words is "two hundred thirty million, three hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 7691 9984 14976 15382 23073 29952 30764 46146 61528 69219 92292 99983 123056 138438 184584 199966 246112 276876 299949 369168 399932 492224 553752 599898 738336 799864 899847 984448 1107504 1199796 1476672 1599728 1799694 1968896 2215008 2399592 2953344 3199456 3599388 4430016 4799184 5906688 6398912 7198776 8860032 9598368 12797824 14397552 17720064 19196736 25595648 28795104 38393472 57590208 76786944 115180416 230360832