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132214236 = 2237111719443
BaseRepresentation
bin1111110000101…
…10110111011100
3100012210011211120
413320112313130
5232321323421
621041450540
73163542150
oct770266734
9305704746
10132214236
11686a4570
1238340a50
132151259b
14137b9060
15b9198c6
hex7e16ddc

132214236 has 192 divisors, whose sum is σ = 429649920. Its totient is φ = 30551040.

The previous prime is 132214223. The next prime is 132214237. The reversal of 132214236 is 632412231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 298231 + ... + 298673.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2132214236 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 132214236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214824960).

132214236 is an abundant number, since it is smaller than the sum of its proper divisors (297435684).

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

132214236 is a wasteful number, since it uses less digits than its factorization.

132214236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 132214236 is about 11498.4449383384. Note that the first 3 decimals coincide. The cubic root of 132214236 is about 509.4396459837.

Adding to 132214236 its reverse (632412231), we get a palindrome (764626467).

The spelling of 132214236 in words is "one hundred thirty-two million, two hundred fourteen thousand, two hundred thirty-six".