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132221223232 = 267295136659
BaseRepresentation
bin111101100100011111…
…1111100000101000000
3110122021201120002001221
41323020333330011000
54131242113120412
6140424103404424
712360364565560
oct1731077740500
9418251502057
10132221223232
115109048500a
1221760753714
13c6121272c7
1465844acda0
15368cd73b07
hex1ec8ffc140

132221223232 has 28 divisors (see below), whose sum is σ = 299858846560. Its totient is φ = 56666238336.

The previous prime is 132221223229. The next prime is 132221223271. The reversal of 132221223232 is 232322122231.

132221223232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 132221223197 and 132221223206.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 147567882 + ... + 147568777.

It is an arithmetic number, because the mean of its divisors is an integer number (10709244520).

Almost surely, 2132221223232 is an apocalyptic number.

It is an amenable number.

132221223232 is an abundant number, since it is smaller than the sum of its proper divisors (167637623328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132221223232 is an equidigital number, since it uses as much as digits as its factorization.

132221223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295136678 (or 295136668 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

Adding to 132221223232 its reverse (232322122231), we get a palindrome (364543345463).

The spelling of 132221223232 in words is "one hundred thirty-two billion, two hundred twenty-one million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 295136659 590273318 1180546636 2065956613 2361093272 4131913226 4722186544 8263826452 9444373088 16527652904 18888746176 33055305808 66110611616 132221223232