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232255004330025 = 32528961318920477
BaseRepresentation
bin110100110011110000010101…
…000001111100100000101001
31010110100100202120210211101100
4310303300111001330200221
5220420231222102030100
62141544250453312013
766630604343402235
oct6463602501744051
91113310676724340
10232255004330025
1168004881083676
12220706ab035609
139c79725a37ab1
14414d2b8b3d5c5
151bcb74416e400
hexd33c1507c829

232255004330025 has 72 divisors (see below), whose sum is σ = 421354882554840. Its totient is φ = 122277738654720.

The previous prime is 232255004329987. The next prime is 232255004330057. The reversal of 232255004330025 is 520033400552232.

232255004330025 is a `hidden beast` number, since 2 + 32 + 2 + 550 + 0 + 43 + 30 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 99499188605184 + 132755815724841 = 9974928^2 + 11521971^2 .

It is not a de Polignac number, because 232255004330025 - 210 = 232255004329001 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2815087 + ... + 21735563.

It is an arithmetic number, because the mean of its divisors is an integer number (5852151146595).

Almost surely, 2232255004330025 is an apocalyptic number.

232255004330025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232255004330025 is a deficient number, since it is larger than the sum of its proper divisors (189099878224815).

232255004330025 is a wasteful number, since it uses less digits than its factorization.

232255004330025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18921195 (or 18921187 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 232255004330025 its reverse (520033400552232), we get a palindrome (752288404882257).

The spelling of 232255004330025 in words is "two hundred thirty-two trillion, two hundred fifty-five billion, four million, three hundred thirty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 613 801 1335 1839 2225 3065 4005 5517 6675 9195 15325 20025 27585 45975 54557 137925 163671 272785 491013 818355 1363925 2455065 4091775 12275325 18920477 56761431 94602385 170284293 283807155 473011925 851421465 1419035775 1683922453 4257107325 5051767359 8419612265 11598252401 15155302077 25258836795 34794757203 42098061325 57991262005 75776510385 104384271609 126294183975 173973786015 289956310025 378882551925 521921358045 869868930075 1032244463689 2609606790225 3096733391067 5161222318445 9290200173201 15483666955335 25806111592225 46451000866005 77418334776675 232255004330025