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132215132 = 227223139211
BaseRepresentation
bin1111110000101…
…11000101011100
3100012210020001202
413320113011130
5232321341012
621041455032
73163544600
oct770270534
9305706052
10132215132
11686a5205
1238341478
1321512b0a
14137b9500
15b919cc2
hex7e1715c

132215132 has 72 divisors (see below), whose sum is σ = 284215680. Its totient is φ = 53555040.

The previous prime is 132215131. The next prime is 132215141. The reversal of 132215132 is 231512231.

It is a super-3 number, since 3×1322151323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132215131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626507 + ... + 626717.

It is an arithmetic number, because the mean of its divisors is an integer number (3947440).

Almost surely, 2132215132 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 132215132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107840).

132215132 is an abundant number, since it is smaller than the sum of its proper divisors (152000548).

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

132215132 is a wasteful number, since it uses less digits than its factorization.

132215132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 132215132 is about 11498.4839000627. The cubic root of 132215132 is about 509.4407967849.

Adding to 132215132 its reverse (231512231), we get a palindrome (363727363).

The spelling of 132215132 in words is "one hundred thirty-two million, two hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 139 161 196 211 278 322 422 556 644 844 973 1127 1477 1946 2254 2954 3197 3892 4508 4853 5908 6394 6811 9706 10339 12788 13622 19412 20678 22379 27244 29329 33971 41356 44758 58658 67942 89516 117316 135884 156653 205303 237797 313306 410606 475594 626612 674567 821212 951188 1349134 1437121 2698268 2874242 4721969 5748484 9443938 18887876 33053783 66107566 132215132