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230231426464 = 25138318613583
BaseRepresentation
bin1101011001101011011…
…1001100010110100000
3211000021020001021022001
43112122313030112200
512233003221121324
6253433350253344
722430230556404
oct3263267142640
9730236037261
10230231426464
1189705702376
1238754057254
13189316228c0
14b20116d104
155ec7563e44
hex359adcc5a0

230231426464 has 96 divisors (see below), whose sum is σ = 494419451904. Its totient is φ = 104894714880.

The previous prime is 230231426431. The next prime is 230231426501. The reversal of 230231426464 is 464624132032.

230231426464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64254817 + ... + 64258399.

It is an arithmetic number, because the mean of its divisors is an integer number (5150202624).

Almost surely, 2230231426464 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 230231426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247209725952).

230231426464 is an abundant number, since it is smaller than the sum of its proper divisors (264188025440).

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

230231426464 is a wasteful number, since it uses less digits than its factorization.

230231426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 230231426464 its reverse (464624132032), we get a palindrome (694855558496).

The spelling of 230231426464 in words is "two hundred thirty billion, two hundred thirty-one million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 664 1079 1328 1861 2158 2656 3583 3722 4316 7166 7444 8632 14332 14888 17264 24193 28664 29776 34528 46579 48386 57328 59552 93158 96772 114656 154463 186316 193544 297389 308926 372632 387088 594778 617852 745264 774176 1189556 1235704 1490528 2008019 2379112 2471408 3866057 4016038 4758224 4942816 6667963 7732114 8032076 9516448 13335926 15464228 16064152 26671852 30928456 32128304 53343704 61856912 64256608 86683519 106687408 123713824 173367038 213374816 346734076 553440929 693468152 1106881858 1386936304 2213763716 2773872608 4427527432 7194732077 8855054864 14389464154 17710109728 28778928308 57557856616 115115713232 230231426464