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230232030625 = 5417211292
BaseRepresentation
bin1101011001101011100…
…1011111110110100001
3211000021021011222001101
43112122321133312201
512233003344440000
6253433411234401
722430235653662
oct3263271376641
9730237158041
10230232030625
1189705a85283
12387542a8a01
13189317a48ac
14b201289369
155ec7632e6a
hex359ae5fda1

230232030625 has 45 divisors (see below), whose sum is σ = 305887785357. Its totient is φ = 173197632000.

The previous prime is 230232030619. The next prime is 230232030629. The reversal of 230232030625 is 526030232032.

The square root of 230232030625 is 479825.

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

It can be written as a sum of positive squares in 22 ways, for example, as 181504117089 + 48727913536 = 426033^2 + 220744^2 .

It is not a de Polignac number, because 230232030625 - 23 = 230232030617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230232030593 and 230232030602.

It is not an unprimeable number, because it can be changed into a prime (230232030629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203925061 + ... + 203926189.

Almost surely, 2230232030625 is an apocalyptic number.

230232030625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230232030625 is the 479825-th square number.

230232030625 is the 239913-rd centered octagonal number.

It is an amenable number.

230232030625 is a deficient number, since it is larger than the sum of its proper divisors (75655754732).

230232030625 is an frugal number, since it uses more digits than its factorization.

230232030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 230232030625 its reverse (526030232032), we get a palindrome (756262262657).

The spelling of 230232030625 in words is "two hundred thirty billion, two hundred thirty-two million, thirty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 425 625 1129 1445 2125 5645 7225 10625 19193 28225 36125 95965 141125 180625 326281 479825 705625 1274641 1631405 2399125 6373205 8157025 11995625 21668897 31866025 40785125 108344485 159330125 203925625 368371249 541722425 796650625 1841856245 2708612125 9209281225 13543060625 46046406125 230232030625