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230518528 = 28432487
BaseRepresentation
bin11011011110101…
…10111100000000
3121001202112222021
431233112330000
5433003043103
634512451224
75466242452
oct1557267400
9531675867
10230518528
11109137a89
1265249b14
13389b12c6
14228882d2
1515386bbd
hexdbd6f00

230518528 has 54 divisors (see below), whose sum is σ = 472053624. Its totient is φ = 112347648.

The previous prime is 230518517. The next prime is 230518537. The reversal of 230518528 is 825815032.

It is a junction number, because it is equal to n+sod(n) for n = 230518493 and 230518502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473101 + ... + 473587.

Almost surely, 2230518528 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 230518528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236026812).

230518528 is an abundant number, since it is smaller than the sum of its proper divisors (241535096).

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

230518528 is an frugal number, since it uses more digits than its factorization.

230518528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 230518528 is about 15182.8366256112. The cubic root of 230518528 is about 613.1526541942.

The spelling of 230518528 in words is "two hundred thirty million, five hundred eighteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 487 688 974 1376 1849 1948 2752 3698 3896 5504 7396 7792 11008 14792 15584 20941 29584 31168 41882 59168 62336 83764 118336 124672 167528 236672 335056 473344 670112 900463 1340224 1800926 2680448 3601852 5360896 7203704 14407408 28814816 57629632 115259264 230518528