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132242022 = 232116110949
BaseRepresentation
bin1111110000111…
…01101001100110
3100012211120221200
413320131221212
5232323221042
621042223330
73164016153
oct770355146
9305746850
10132242022
1168713430
1238354b46
1321522123
14137c522a
15b922c4c
hex7e1da66

132242022 has 48 divisors (see below), whose sum is σ = 317725200. Its totient is φ = 39412800.

The previous prime is 132242021. The next prime is 132242023. The reversal of 132242022 is 220242231.

132242022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132242021) and next prime (132242023).

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

It is a junction number, because it is equal to n+sod(n) for n = 132241986 and 132242004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242021) 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, 6604 + ... + 17552.

It is an arithmetic number, because the mean of its divisors is an integer number (6619275).

Almost surely, 2132242022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132242022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158862600).

132242022 is an abundant number, since it is smaller than the sum of its proper divisors (185483178).

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

132242022 is a wasteful number, since it uses less digits than its factorization.

132242022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 132242022 is about 11499.6531252034. The cubic root of 132242022 is about 509.4753312446.

Adding to 132242022 its reverse (220242231), we get a palindrome (352484253).

The spelling of 132242022 in words is "one hundred thirty-two million, two hundred forty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 2013 4026 6039 10949 12078 21898 32847 65694 98541 120439 197082 240878 361317 667889 722634 1083951 1335778 2003667 2167902 4007334 6011001 7346779 12022002 14693558 22040337 44080674 66121011 132242022