Search a number
-
+
132214302 = 233111032161
BaseRepresentation
bin1111110000101…
…10111000011110
3100012210011221000
413320112320132
5232321324202
621041451130
73163542303
oct770267036
9305704830
10132214302
11686a4620
1238340aa6
132151261c
14137b90aa
15b91991c
hex7e16e1e

132214302 has 64 divisors (see below), whose sum is σ = 323781120. Its totient is φ = 39657600.

The previous prime is 132214289. The next prime is 132214361. The reversal of 132214302 is 203412231.

132214302 is a `hidden beast` number, since 13 + 221 + 430 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60102 + ... + 62262.

It is an arithmetic number, because the mean of its divisors is an integer number (5059080).

Almost surely, 2132214302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132214302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161890560).

132214302 is an abundant number, since it is smaller than the sum of its proper divisors (191566818).

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

132214302 is a wasteful number, since it uses less digits than its factorization.

132214302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

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

The square root of 132214302 is about 11498.4478082913. The cubic root of 132214302 is about 509.4397307528.

Adding to 132214302 its reverse (203412231), we get a palindrome (335626533).

The spelling of 132214302 in words is "one hundred thirty-two million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 103 198 206 297 309 594 618 927 1133 1854 2161 2266 2781 3399 4322 5562 6483 6798 10197 12966 19449 20394 23771 30591 38898 47542 58347 61182 71313 116694 142626 213939 222583 427878 445166 641817 667749 1283634 1335498 2003247 2448413 4006494 4896826 6009741 7345239 12019482 14690478 22035717 44071434 66107151 132214302