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230523488 = 2513737591
BaseRepresentation
bin11011011110110…
…00001001100000
3121001202210202222
431233120021200
5433003222423
634512530212
75466263066
oct1557301140
9531683688
10230523488
11109140788
1265250968
13389b3640
142288a036
15153883c8
hexdbd8260

230523488 has 48 divisors (see below), whose sum is σ = 495514656. Its totient is φ = 104924160.

The previous prime is 230523481. The next prime is 230523499. The reversal of 230523488 is 884325032.

It is a Cunningham number, because it is equal to 151832-1.

It is a super-2 number, since 2×2305234882 = 106282157039372288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230523481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26573 + ... + 34163.

It is an arithmetic number, because the mean of its divisors is an integer number (10323222).

Almost surely, 2230523488 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 230523488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247757328).

230523488 is an abundant number, since it is smaller than the sum of its proper divisors (264991168).

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

230523488 is a wasteful number, since it uses less digits than its factorization.

230523488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 230523488 is about 15182.9999670684. Note that the first 4 decimals coincide. The cubic root of 230523488 is about 613.1570518383.

The spelling of 230523488 in words is "two hundred thirty million, five hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 7591 7592 15182 15184 30364 30368 60728 98683 121456 197366 242912 394732 554143 789464 1108286 1578928 2216572 3157856 4433144 7203859 8866288 14407718 17732576 28815436 57630872 115261744 230523488