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132221144 = 23112276619
BaseRepresentation
bin1111110000110…
…00100011011000
3100012210112022102
413320120203120
5232322034034
621041542532
73163601246
oct770304330
9305715272
10132221144
11686a9780
1238344a48
1321515783
14137bb796
15b91b97e
hex7e188d8

132221144 has 32 divisors (see below), whose sum is σ = 271684800. Its totient is φ = 59826720.

The previous prime is 132221137. The next prime is 132221147. The reversal of 132221144 is 441122231.

132221144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221147) 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 7 ways as a sum of consecutive naturals, for example, 16667 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (8490150).

Almost surely, 2132221144 is an apocalyptic number.

It is an amenable number.

132221144 is an abundant number, since it is smaller than the sum of its proper divisors (139463656).

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

132221144 is a wasteful number, since it uses less digits than its factorization.

132221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6863 (or 6859 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 132221144 is about 11498.7453228602. The cubic root of 132221144 is about 509.4485183208.

Adding to 132221144 its reverse (441122231), we get a palindrome (573343375).

The spelling of 132221144 in words is "one hundred thirty-two million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 227 454 908 1816 2497 4994 6619 9988 13238 19976 26476 52952 72809 145618 291236 582472 1502513 3005026 6010052 12020104 16527643 33055286 66110572 132221144