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132424422 = 231353103311
BaseRepresentation
bin1111110010010…
…10001011100110
3100020011212011020
413321022023212
5232400040142
621050152010
73165406014
oct771121346
9306155136
10132424422
1168828479
1238422606
1321587160
14138318b4
15b95bcec
hex7e4a2e6

132424422 has 64 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 39461760.

The previous prime is 132424417. The next prime is 132424429. The reversal of 132424422 is 224424231.

It is a junction number, because it is equal to n+sod(n) for n = 132424392 and 132424401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132424429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425647 + ... + 425957.

It is an arithmetic number, because the mean of its divisors is an integer number (4599504).

Almost surely, 2132424422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132424422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

132424422 is an abundant number, since it is smaller than the sum of its proper divisors (161943834).

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

132424422 is a wasteful number, since it uses less digits than its factorization.

132424422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its digits is 3072, while the sum is 24.

The square root of 132424422 is about 11507.5810664101. The cubic root of 132424422 is about 509.7094615831.

Adding to 132424422 its reverse (224424231), we get a palindrome (356848653).

The spelling of 132424422 in words is "one hundred thirty-two million, four hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 103 106 159 206 309 311 318 618 622 689 933 1339 1378 1866 2067 2678 4017 4043 4134 5459 8034 8086 10918 12129 16377 16483 24258 32033 32754 32966 49449 64066 70967 96099 98898 141934 192198 212901 214279 416429 425802 428558 642837 832858 1249287 1285674 1697749 2498574 3395498 5093247 10186494 22070737 44141474 66212211 132424422