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132220312 = 23797101241
BaseRepresentation
bin1111110000110…
…00010110011000
3100012210111011121
413320120112120
5232322022222
621041535024
73163565650
oct770302630
9305714147
10132220312
11686a9094
1238344474
1321515293
14137bb360
15b91b5c7
hex7e18598

132220312 has 64 divisors (see below), whose sum is σ = 290283840. Its totient is φ = 55296000.

The previous prime is 132220303. The next prime is 132220321. The reversal of 132220312 is 213022231.

It is an interprime number because it is at equal distance from previous prime (132220303) and next prime (132220321).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548512 + ... + 548752.

It is an arithmetic number, because the mean of its divisors is an integer number (4535685).

Almost surely, 2132220312 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 132220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141920).

132220312 is an abundant number, since it is smaller than the sum of its proper divisors (158063528).

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

132220312 is a wasteful number, since it uses less digits than its factorization.

132220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132220312 is about 11498.7091449432. The cubic root of 132220312 is about 509.4474497523.

Adding to 132220312 its reverse (213022231), we get a palindrome (345242543).

The spelling of 132220312 in words is "one hundred thirty-two million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 97 101 194 202 241 388 404 482 679 707 776 808 964 1358 1414 1687 1928 2716 2828 3374 5432 5656 6748 9797 13496 19594 23377 24341 39188 46754 48682 68579 78376 93508 97364 137158 163639 170387 187016 194728 274316 327278 340774 548632 654556 681548 1309112 1363096 2361077 4722154 9444308 16527539 18888616 33055078 66110156 132220312