Search a number
-
+
132219234 = 23271723631
BaseRepresentation
bin1111110000110…
…00000101100010
3100012210102200200
413320120011202
5232322003414
621041530030
73163562550
oct770300542
9305712620
10132219234
11686a82a4
1238343916
1321514944
14137babd0
15b91b109
hex7e18162

132219234 has 72 divisors (see below), whose sum is σ = 347887488. Its totient is φ = 35544960.

The previous prime is 132219187. The next prime is 132219293. The reversal of 132219234 is 432912231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132219198 and 132219207.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34599 + ... + 38229.

Almost surely, 2132219234 is an apocalyptic number.

132219234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132219234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173943744).

132219234 is an abundant number, since it is smaller than the sum of its proper divisors (215668254).

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

132219234 is a wasteful number, since it uses less digits than its factorization.

132219234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3660 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 132219234 is about 11498.6622700208. The cubic root of 132219234 is about 509.4460652301.

The spelling of 132219234 in words is "one hundred thirty-two million, two hundred nineteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 289 306 357 578 714 867 1071 1734 2023 2142 2601 3631 4046 5202 6069 7262 10893 12138 18207 21786 25417 32679 36414 50834 61727 65358 76251 123454 152502 185181 228753 370362 432089 457506 555543 864178 1049359 1111086 1296267 2098718 2592534 3148077 3888801 6296154 7345513 7777602 9444231 14691026 18888462 22036539 44073078 66109617 132219234