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132266196 = 2234408229
BaseRepresentation
bin1111110001000…
…11100011010100
3100012212211010000
413320203203110
5232330004241
621042531300
73164146506
oct770434324
9305784100
10132266196
116872a607
1238366b30
132153012a
14137cdd76
15b929eb6
hex7e238d4

132266196 has 30 divisors (see below), whose sum is σ = 345770810. Its totient is φ = 44088624.

The previous prime is 132266191. The next prime is 132266203. The reversal of 132266196 is 691662231.

It is a happy number.

132266196 is a `hidden beast` number, since 1 + 32 + 2 + 6 + 619 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115863696 + 16402500 = 10764^2 + 4050^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 132266196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132266191) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 203791 + ... + 204438.

Almost surely, 2132266196 is an apocalyptic number.

It is an amenable number.

132266196 is an abundant number, since it is smaller than the sum of its proper divisors (213504614).

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

132266196 is a wasteful number, since it uses less digits than its factorization.

132266196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408245 (or 408234 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 132266196 is about 11500.7041523552. The cubic root of 132266196 is about 509.5063735867.

The spelling of 132266196 in words is "one hundred thirty-two million, two hundred sixty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 408229 816458 1224687 1632916 2449374 3674061 4898748 7348122 11022183 14696244 22044366 33066549 44088732 66133098 132266196