Search a number
-
+
232049341225 = 5213274112
BaseRepresentation
bin1101100000011100110…
…1111111001100101001
3211011221220202220112101
43120013031333030221
512300214112404400
6254334010413401
722523253566422
oct3300715771451
9734856686471
10232049341225
118a458892669
1238b80a31261
1318b61145c00
14b33478a649
156081e5a56a
hex360737f329

232049341225 has 27 divisors (see below), whose sum is σ = 311619779109. Its totient is φ = 171336391200.

The previous prime is 232049341177. The next prime is 232049341259. The reversal of 232049341225 is 522143940232.

The square root of 232049341225 is 481715.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59811060969 + 172238280256 = 244563^2 + 415016^2 .

It is not a de Polignac number, because 232049341225 - 29 = 232049340713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31307770 + ... + 31315180.

Almost surely, 2232049341225 is an apocalyptic number.

232049341225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

232049341225 is the 481715-th square number.

232049341225 is the 240858-th centered octagonal number.

It is an amenable number.

232049341225 is a deficient number, since it is larger than the sum of its proper divisors (79570437884).

232049341225 is an frugal number, since it uses more digits than its factorization.

232049341225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14858 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 232049341225 in words is "two hundred thirty-two billion, forty-nine million, three hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 7411 37055 96343 185275 481715 1252459 2408575 6262295 31311475 54922921 274614605 713997973 1373073025 3569989865 9281973649 17849949325 46409868245 232049341225