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230838928849 = 6727121012
BaseRepresentation
bin1101011011111100010…
…0101000010111010001
3211001211120011120220101
43112333010220113101
512240224231210344
6254013531212401
722451255343364
oct3267704502721
9731746146811
10230838928849
1189997614961
12388a35a7101
13189ca447279
14b25bb0a0db
156010a649d4
hex35bf1285d1

230838928849 has 27 divisors (see below), whose sum is σ = 240059292123. Its totient is φ = 221971134000.

The previous prime is 230838928807. The next prime is 230838928867. The reversal of 230838928849 is 948829838032.

The square root of 230838928849 is 480457.

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

It can be written as a sum of positive squares in only one way, i.e., 221787309249 + 9051619600 = 470943^2 + 95140^2 .

It is not a de Polignac number, because 230838928849 - 219 = 230838404561 is a prime.

It is a super-2 number, since 2×2308389288492 (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 (230838928049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2285533899 + ... + 2285533999.

Almost surely, 2230838928849 is an apocalyptic number.

230838928849 is the 480457-th square number.

230838928849 is the 240229-th centered octagonal number.

It is an amenable number.

230838928849 is a deficient number, since it is larger than the sum of its proper divisors (9220363274).

230838928849 is an frugal number, since it uses more digits than its factorization.

230838928849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

Multiplying 230838928849 by its sum of digits (64), we get a square (14773691446336 = 38436562).

The spelling of 230838928849 in words is "two hundred thirty billion, eight hundred thirty-eight million, nine hundred twenty-eight thousand, eight hundred forty-nine".

Divisors: 1 67 71 101 4489 4757 5041 6767 7171 10201 318719 337747 453389 480457 509141 683467 724271 22629049 32190619 34112447 45792289 48526157 51423241 2285533949 3251252519 3445357147 230838928849