Search a number
-
+
132022242 = 2321131137157
BaseRepresentation
bin1111101111001…
…11111111100010
3100012102102110200
413313213333202
5232244202432
621033410030
73162112332
oct767477742
9305372420
10132022242
11685832a0
1238269916
1321476091
14137690c2
15b8cca7c
hex7de7fe2

132022242 has 96 divisors (see below), whose sum is σ = 326536704. Its totient is φ = 38188800.

The previous prime is 132022223. The next prime is 132022243. The reversal of 132022242 is 242220231.

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

It is not an unprimeable number, because it can be changed into a prime (132022243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840828 + ... + 840984.

It is an arithmetic number, because the mean of its divisors is an integer number (3401424).

Almost surely, 2132022242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132022242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163268352).

132022242 is an abundant number, since it is smaller than the sum of its proper divisors (194514462).

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

132022242 is a wasteful number, since it uses less digits than its factorization.

132022242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

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

The square root of 132022242 is about 11490.0932111102. The cubic root of 132022242 is about 509.1929334234.

Adding to 132022242 its reverse (242220231), we get a palindrome (374242473).

The spelling of 132022242 in words is "one hundred thirty-two million, twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 137 157 186 198 274 279 314 341 411 471 558 682 822 942 1023 1233 1413 1507 1727 2046 2466 2826 3014 3069 3454 4247 4521 4867 5181 6138 8494 9042 9734 10362 12741 13563 14601 15543 21509 25482 27126 29202 31086 38223 43018 43803 46717 53537 64527 76446 87606 93434 107074 129054 140151 160611 193581 236599 280302 321222 387162 420453 473198 481833 666779 709797 840906 963666 1333558 1419594 2000337 2129391 4000674 4258782 6001011 7334569 12002022 14669138 22003707 44007414 66011121 132022242