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132212000 = 255333053
BaseRepresentation
bin1111110000101…
…10010100100000
3100012210001202202
413320112110200
5232321241000
621041432332
73163532504
oct770262440
9305701682
10132212000
11686a2918
123833b6a8
132151156b
14137b8304
15b918dd5
hex7e16520

132212000 has 48 divisors (see below), whose sum is σ = 324854712. Its totient is φ = 52883200.

The previous prime is 132211999. The next prime is 132212033. The reversal of 132212000 is 212231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62789776 + 69422224 = 7924^2 + 8332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12527 + ... + 20526.

Almost surely, 2132212000 is an apocalyptic number.

132212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212000 is an abundant number, since it is smaller than the sum of its proper divisors (192642712).

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

132212000 is an equidigital number, since it uses as much as digits as its factorization.

132212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33078 (or 33060 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 132212000 is about 11498.3477073882. The cubic root of 132212000 is about 509.4367740957.

Adding to 132212000 its reverse (212231), we get a palindrome (132424231).

The spelling of 132212000 in words is "one hundred thirty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 33053 66106 132212 165265 264424 330530 528848 661060 826325 1057696 1322120 1652650 2644240 3305300 4131625 5288480 6610600 8263250 13221200 16526500 26442400 33053000 66106000 132212000