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132444216 = 233218110163
BaseRepresentation
bin1111110010011…
…11000000111000
3100020012212022100
413321033000320
5232401203331
621050423400
73165520512
oct771170070
9306185270
10132444216
1168841333
1238431b60
1321593178
1413838bb2
15b962ae6
hex7e4f038

132444216 has 48 divisors (see below), whose sum is σ = 360720360. Its totient is φ = 43899840.

The previous prime is 132444187. The next prime is 132444217. The reversal of 132444216 is 612444231.

It is a happy number.

132444216 is a `hidden beast` number, since 1 + 3 + 2 + 444 + 216 = 666.

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 132444216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132444217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7951 + ... + 18113.

Almost surely, 2132444216 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 132444216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180360180).

132444216 is an abundant number, since it is smaller than the sum of its proper divisors (228276144).

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

132444216 is a wasteful number, since it uses less digits than its factorization.

132444216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10356 (or 10349 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 132444216 is about 11508.4410760103. The cubic root of 132444216 is about 509.7348564115.

Adding to 132444216 its reverse (612444231), we get a palindrome (744888447).

The spelling of 132444216 in words is "one hundred thirty-two million, four hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 10163 13032 20326 30489 40652 60978 81304 91467 121956 182934 243912 365868 731736 1839503 3679006 5518509 7358012 11037018 14716024 16555527 22074036 33111054 44148072 66222108 132444216