Search a number
-
+
146220012 = 223310912421
BaseRepresentation
bin10001011011100…
…10001111101100
3101012010202011000
420231302033230
5244413020022
622302000300
73423564261
oct1055621754
9335122130
10146220012
11755a0294
1240b76090
13243a7523
14155c3268
15cc846ac
hex8b723ec

146220012 has 48 divisors (see below), whose sum is σ = 382597600. Its totient is φ = 48288960.

The previous prime is 146219999. The next prime is 146220017. The reversal of 146220012 is 210022641.

146220012 is a `hidden beast` number, since 1 + 462 + 200 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146220017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5562 + ... + 17982.

Almost surely, 2146220012 is an apocalyptic number.

146220012 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 146220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191298800).

146220012 is an abundant number, since it is smaller than the sum of its proper divisors (236377588).

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

146220012 is a wasteful number, since it uses less digits than its factorization.

146220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12535 counting only the distinct ones).

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

The square root of 146220012 is about 12092.1467076777. The cubic root of 146220012 is about 526.8281085660.

Adding to 146220012 its reverse (210022641), we get a palindrome (356242653).

The spelling of 146220012 in words is "one hundred forty-six million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772 12421 24842 37263 49684 74526 111789 149052 223578 335367 447156 670734 1341468 1353889 2707778 4061667 5415556 8123334 12185001 16246668 24370002 36555003 48740004 73110006 146220012