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132223104 = 273613109
BaseRepresentation
bin1111110000110…
…01000010000000
3100012210122000000
413320121002000
5232322114404
621042000000
73163610046
oct770310200
9305718000
10132223104
11687001a2
1238346000
1321516630
14137bc396
15b91c339
hex7e19080

132223104 has 224 divisors, whose sum is σ = 429221100. Its totient is φ = 40310784.

The previous prime is 132223103. The next prime is 132223121. The reversal of 132223104 is 401322231.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 1166400 = 11448^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132223103) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1213002 + ... + 1213110.

Almost surely, 2132223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214610550).

132223104 is an abundant number, since it is smaller than the sum of its proper divisors (296997996).

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

132223104 is an equidigital number, since it uses as much as digits as its factorization.

132223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132223104 is about 11498.8305492341. The cubic root of 132223104 is about 509.4510356039.

Adding to 132223104 its reverse (401322231), we get a palindrome (533545335).

The spelling of 132223104 in words is "one hundred thirty-two million, two hundred twenty-three thousand, one hundred four".