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232211321 = 7315720261
BaseRepresentation
bin11011101011101…
…00001101111001
3121011221120001022
431311310031321
5433421230241
635013032225
75516522636
oct1565641571
9534846038
10232211321
1110a093891
1265925675
1339154964
1422ba918d
15155bd54b
hexdd74379

232211321 has 8 divisors (see below), whose sum is σ = 236903304. Its totient is φ = 227560320.

The previous prime is 232211299. The next prime is 232211327. The reversal of 232211321 is 123112232.

It can be written as a sum of positive squares in 4 ways, for example, as 75625 + 232135696 = 275^2 + 15236^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232211321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232211321.

It is not an unprimeable number, because it can be changed into a prime (232211327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1331 + ... + 21591.

It is an arithmetic number, because the mean of its divisors is an integer number (29612913).

Almost surely, 2232211321 is an apocalyptic number.

It is an amenable number.

232211321 is a deficient number, since it is larger than the sum of its proper divisors (4691983).

232211321 is a wasteful number, since it uses less digits than its factorization.

232211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20491.

The product of its digits is 144, while the sum is 17.

The square root of 232211321 is about 15238.4815844624. The cubic root of 232211321 is about 614.6498731942.

Adding to 232211321 its reverse (123112232), we get a palindrome (355323553).

It can be divided in two parts, 23221 and 1321, that added together give a palindrome (24542).

The spelling of 232211321 in words is "two hundred thirty-two million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 73 157 11461 20261 1479053 3180977 232211321