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132214215 = 3576731871
BaseRepresentation
bin1111110000101…
…10110111000111
3100012210011210210
413320112313013
5232321323330
621041450503
73163542120
oct770266707
9305704723
10132214215
11686a4551
1238340a33
1321512583
14137b9047
15b9198b0
hex7e16dc7

132214215 has 32 divisors (see below), whose sum is σ = 242251776. Its totient is φ = 60318720.

The previous prime is 132214183. The next prime is 132214223. The reversal of 132214215 is 512412231.

It is not a de Polignac number, because 132214215 - 25 = 132214183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132214191 and 132214200.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 69730 + ... + 71600.

It is an arithmetic number, because the mean of its divisors is an integer number (7570368).

Almost surely, 2132214215 is an apocalyptic number.

132214215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132214215 is a deficient number, since it is larger than the sum of its proper divisors (110037561).

132214215 is a wasteful number, since it uses less digits than its factorization.

132214215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559.

The product of its digits is 480, while the sum is 21.

The square root of 132214215 is about 11498.4440251714. Note that the first 3 decimals coincide. The cubic root of 132214215 is about 509.4396190118.

Adding to 132214215 its reverse (512412231), we get a palindrome (644626446).

The spelling of 132214215 in words is "one hundred thirty-two million, two hundred fourteen thousand, two hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 673 1871 2019 3365 4711 5613 9355 10095 13097 14133 23555 28065 39291 65485 70665 196455 1259183 3777549 6295915 8814281 18887745 26442843 44071405 132214215