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232330505225 = 52713109936911
BaseRepresentation
bin1101100001011111111…
…0100010110000001001
3211012200111211112000212
43120113332202300021
512301303102131400
6254421533010505
722533236465510
oct3302776426011
9735614745025
10232330505225
118a592571305
123903b023a35
1318ba747a340
14b35dc59677
15609b998335
hex3617fa2c09

232330505225 has 48 divisors (see below), whose sum is σ = 357825431040. Its totient is φ = 145708243200.

The previous prime is 232330505171. The next prime is 232330505243. The reversal of 232330505225 is 522505033232.

232330505225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232330505225 - 212 = 232330501129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232330505191 and 232330505200.

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 47 ways as a sum of consecutive naturals, for example, 220481 + ... + 716430.

It is an arithmetic number, because the mean of its divisors is an integer number (7454696480).

Almost surely, 2232330505225 is an apocalyptic number.

232330505225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232330505225 is a deficient number, since it is larger than the sum of its proper divisors (125494925815).

232330505225 is a wasteful number, since it uses less digits than its factorization.

232330505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937050 (or 937045 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

Adding to 232330505225 its reverse (522505033232), we get a palindrome (754835538457).

The spelling of 232330505225 in words is "two hundred thirty-two billion, three hundred thirty million, five hundred five thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 109 175 325 455 545 763 1417 2275 2725 3815 7085 9919 19075 35425 49595 247975 936911 4684555 6558377 12179843 23422775 32791885 60899215 85258901 102123299 163959425 304496075 426294505 510616495 714863093 1327602887 2131472525 2553082475 3574315465 6638014435 9293220209 17871577325 33190072175 46466101045 232330505225