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232015201 = 11217149757
BaseRepresentation
bin11011101010001…
…00010101100001
3121011120121000121
431311010111201
5433343441301
635004520241
75515045105
oct1565042541
9534517017
10232015201
11109a6a500
1265850081
13390b6602
1422b57905
15155803a1
hexdd44561

232015201 has 24 divisors (see below), whose sum is σ = 272197800. Its totient is φ = 196922880.

The previous prime is 232015159. The next prime is 232015207. The reversal of 232015201 is 102510232.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 199798225 = 5676^2 + 14135^2 .

It is not a de Polignac number, because 232015201 - 27 = 232015073 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232015207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306115 + ... + 306871.

It is an arithmetic number, because the mean of its divisors is an integer number (11341575).

Almost surely, 2232015201 is an apocalyptic number.

It is an amenable number.

232015201 is a deficient number, since it is larger than the sum of its proper divisors (40182599).

232015201 is a wasteful number, since it uses less digits than its factorization.

232015201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 232015201 is about 15232.0452008258. The cubic root of 232015201 is about 614.4767850418.

Adding to 232015201 its reverse (102510232), we get a palindrome (334525433).

The spelling of 232015201 in words is "two hundred thirty-two million, fifteen thousand, two hundred one".

Divisors: 1 11 17 121 149 187 757 1639 2057 2533 8327 12869 18029 27863 91597 112793 141559 306493 1240723 1557149 1917481 13647953 21092291 232015201