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230523489 = 34722412
BaseRepresentation
bin11011011110110…
…00001001100001
3121001202210210000
431233120021201
5433003222424
634512530213
75466263100
oct1557301141
9531683700
10230523489
11109140789
1265250969
13389b3641
142288a037
15153883c9
hexdbd8261

230523489 has 45 divisors (see below), whose sum is σ = 402253731. Its totient is φ = 131181120.

The previous prime is 230523481. The next prime is 230523499. The reversal of 230523489 is 984325032.

The square root of 230523489 is 15183.

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

230523489 is a `hidden beast` number, since 2 + 305 + 2 + 348 + 9 = 666.

230523489 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., 173369889 + 57153600 = 13167^2 + 7560^2 .

It is not a de Polignac number, because 230523489 - 23 = 230523481 is a prime.

It is a Curzon number.

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

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 956409 + ... + 956649.

Almost surely, 2230523489 is an apocalyptic number.

230523489 is the 15183-rd square number.

230523489 is the 7592-nd centered octagonal number.

It is an amenable number.

230523489 is a deficient number, since it is larger than the sum of its proper divisors (171730242).

230523489 is an frugal number, since it uses more digits than its factorization.

230523489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 230523489 is about 613.1570527249.

Multiplying 230523489 by its sum of digits (36), we get a square (8298845604 = 910982).

The spelling of 230523489 in words is "two hundred thirty million, five hundred twenty-three thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 241 441 567 723 1323 1687 2169 3969 5061 6507 11809 15183 19521 35427 45549 58081 106281 136647 174243 318843 406567 522729 956529 1219701 1568187 2845969 3659103 4704561 8537907 10977309 25613721 32931927 76841163 230523489