Search a number
-
+
24200230212 = 22323779229979
BaseRepresentation
bin10110100010011100…
…100011010101000100
32022110120000001220200
4112202130203111010
5344030224331322
615041210530500
71514463364014
oct264234432504
968416001820
1024200230212
11a299443164
124834736a30
132388934362
14125807bc44
159698938ac
hex5a2723544

24200230212 has 72 divisors (see below), whose sum is σ = 63621667200. Its totient is φ = 7749338688.

The previous prime is 24200230147. The next prime is 24200230273. The reversal of 24200230212 is 21203200242.

24200230212 is a `hidden beast` number, since 2 + 420 + 0 + 2 + 30 + 212 = 666.

It is a super-2 number, since 2×242002302122 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9762 + ... + 220217.

Almost surely, 224200230212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24200230212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31810833600).

24200230212 is an abundant number, since it is smaller than the sum of its proper divisors (39421436988).

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

24200230212 is a wasteful number, since it uses less digits than its factorization.

24200230212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230105 (or 230100 counting only the distinct ones).

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

Adding to 24200230212 its reverse (21203200242), we get a palindrome (45403430454).

The spelling of 24200230212 in words is "twenty-four billion, two hundred million, two hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1422 2844 2923 5846 8769 11692 17538 26307 35076 52614 105228 229979 459958 689937 919916 1379874 2069811 2759748 4139622 8279244 8509223 17018446 18168341 25527669 34036892 36336682 51055338 54505023 72673364 76583007 102110676 109010046 153166014 163515069 218020092 306332028 327030138 654060276 672228617 1344457234 2016685851 2688914468 4033371702 6050057553 8066743404 12100115106 24200230212