Search a number
-
+
132212412 = 2235197159
BaseRepresentation
bin1111110000101…
…10011010111100
3100012210002100000
413320112122330
5232321244122
621041434300
73163533633
oct770263274
9305702300
10132212412
11686a3162
123833b990
13215117c7
14137b851a
15b9190ac
hex7e166bc

132212412 has 72 divisors (see below), whose sum is σ = 364873600. Its totient is φ = 41745456.

The previous prime is 132212407. The next prime is 132212419. The reversal of 132212412 is 214212231.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212419) 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, 14889 + ... + 22047.

Almost surely, 2132212412 is an apocalyptic number.

132212412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182436800).

132212412 is an abundant number, since it is smaller than the sum of its proper divisors (232661188).

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

132212412 is a wasteful number, since it uses less digits than its factorization.

132212412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7183 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 132212412 is about 11498.3656229918. The cubic root of 132212412 is about 509.4373032653.

Adding to 132212412 its reverse (214212231), we get a palindrome (346424643).

The spelling of 132212412 in words is "one hundred thirty-two million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 7159 9234 14318 18468 21477 28636 42954 64431 85908 128862 136021 193293 257724 272042 386586 408063 544084 579879 773172 816126 1159758 1224189 1632252 1739637 2319516 2448378 3479274 3672567 4896756 6958548 7345134 11017701 14690268 22035402 33053103 44070804 66106206 132212412