Search a number
-
+
230072756281 = 412116992
BaseRepresentation
bin1101011001000101100…
…1111010100000111001
3210222212011110222201121
43112101121322200321
512232142111200111
6253405521345241
722423263106204
oct3262131724071
9728764428647
10230072756281
1189634089095
123870aa98221
13189077a9514
14b1c806893b
155eb8670871
hex359167a839

230072756281 has 9 divisors (see below), whose sum is σ = 235841312623. Its totient is φ = 224442039280.

The previous prime is 230072756233. The next prime is 230072756317. The reversal of 230072756281 is 182657270032.

The square root of 230072756281 is 479659.

It is a perfect power (a square), and thus also a powerful number.

230072756281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11086194681 + 218986561600 = 105291^2 + 467960^2 .

It is not a de Polignac number, because 230072756281 - 231 = 227925272633 is a prime.

It is a super-2 number, since 2×2300727562812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230072726281) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 19660170 + ... + 19671868.

Almost surely, 2230072756281 is an apocalyptic number.

230072756281 is the 479659-th square number.

230072756281 is the 239830-th centered octagonal number.

It is an amenable number.

230072756281 is a deficient number, since it is larger than the sum of its proper divisors (5768556342).

230072756281 is an frugal number, since it uses more digits than its factorization.

230072756281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23480 (or 11740 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 230072756281 in words is "two hundred thirty billion, seventy-two million, seven hundred fifty-six thousand, two hundred eighty-one".

Divisors: 1 41 1681 11699 479659 19666019 136866601 5611530641 230072756281