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230521462784 = 213271103837
BaseRepresentation
bin1101011010110000100…
…1100110000000000000
3211001000102210122022222
43112230021212000000
512234101443302114
6253522230550212
722440352050344
oct3265411460000
9731012718288
10230521462784
11898443a0a08
1238815208368
1318979742522
14b22b8ab624
155ee2c5598e
hex35ac266000

230521462784 has 56 divisors (see below), whose sum is σ = 462720403488. Its totient is φ = 114834309120.

The previous prime is 230521462781. The next prime is 230521462807. The reversal of 230521462784 is 487264125032.

It is a super-3 number, since 3×2305214627843 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230521462781) 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 3 ways as a sum of consecutive naturals, for example, 2168114 + ... + 2271950.

It is an arithmetic number, because the mean of its divisors is an integer number (8262864348).

Almost surely, 2230521462784 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 230521462784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231360201744).

230521462784 is an abundant number, since it is smaller than the sum of its proper divisors (232198940704).

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

230521462784 is an equidigital number, since it uses as much as digits as its factorization.

230521462784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104134 (or 104110 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 230521462784 in words is "two hundred thirty billion, five hundred twenty-one million, four hundred sixty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 271 512 542 1024 1084 2048 2168 4096 4336 8192 8672 17344 34688 69376 103837 138752 207674 277504 415348 555008 830696 1110016 1661392 2220032 3322784 6645568 13291136 26582272 28139827 53164544 56279654 106329088 112559308 212658176 225118616 425316352 450237232 850632704 900474464 1800948928 3601897856 7203795712 14407591424 28815182848 57630365696 115260731392 230521462784