Search a number
-
+
23200212231 = 3272376192297
BaseRepresentation
bin10101100110110101…
…110010010100000111
32012212212021220010200
4111212311302110013
5340003223242411
614354045021543
71450631356500
oct254665622407
965785256120
1023200212231
119925a07919
1245b58548b3
1322596bbc41
1411a1327ba7
1590bbabe56
hex566d72507

23200212231 has 72 divisors (see below), whose sum is σ = 40118392080. Its totient is φ = 12872514816.

The previous prime is 23200212223. The next prime is 23200212241. The reversal of 23200212231 is 13221200232.

23200212231 is a `hidden beast` number, since 23 + 200 + 212 + 231 = 666.

It is not a de Polignac number, because 23200212231 - 23 = 23200212223 is a prime.

It is a super-2 number, since 2×232002122312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200212221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10099075 + ... + 10101371.

It is an arithmetic number, because the mean of its divisors is an integer number (557199890).

Almost surely, 223200212231 is an apocalyptic number.

23200212231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23200212231 is a deficient number, since it is larger than the sum of its proper divisors (16918179849).

23200212231 is a wasteful number, since it uses less digits than its factorization.

23200212231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23200212231 its reverse (13221200232), we get a palindrome (36421412463).

The spelling of 23200212231 in words is "twenty-three billion, two hundred million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 619 777 1813 1857 2297 2331 4333 5439 5571 6891 12999 16079 16317 20673 22903 30331 38997 48237 68709 84989 90993 112553 144711 160321 206127 254967 272979 337659 480963 594923 764901 1012977 1122247 1421843 1442889 1784769 3366741 4164461 4265529 5354307 9952901 10100223 12493383 12796587 29858703 37480149 52608191 69670307 89576109 157824573 209010921 368257337 473473719 627032763 1104772011 2577801359 3314316033 7733404077 23200212231