Search a number
-
+
23200213221 = 32149115115031
BaseRepresentation
bin10101100110110101…
…110010100011100101
32012212212021221111100
4111212311302203211
5340003223310341
614354045030313
71450631362413
oct254665624345
965785257440
1023200213221
119925a08639
1245b5855399
1322596bc523
1411a13282b3
1590bbac3b6
hex566d728e5

23200213221 has 24 divisors (see below), whose sum is σ = 33767884800. Its totient is φ = 15348636000.

The previous prime is 23200213159. The next prime is 23200213243. The reversal of 23200213221 is 12231200232.

23200213221 is a `hidden beast` number, since 2 + 320 + 0 + 21 + 322 + 1 = 666.

It is not a de Polignac number, because 23200213221 - 210 = 23200212197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23200213194 and 23200213203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200213271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1535976 + ... + 1551006.

It is an arithmetic number, because the mean of its divisors is an integer number (1406995200).

Almost surely, 223200213221 is an apocalyptic number.

It is an amenable number.

23200213221 is a deficient number, since it is larger than the sum of its proper divisors (10567671579).

23200213221 is a wasteful number, since it uses less digits than its factorization.

23200213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16337 (or 16334 counting only the distinct ones).

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

Adding to 23200213221 its reverse (12231200232), we get a palindrome (35431413453).

The spelling of 23200213221 in words is "twenty-three billion, two hundred million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 149 447 1151 1341 3453 10359 15031 45093 135279 171499 514497 1543491 2239619 6718857 17300681 20156571 51902043 155706129 2577801469 7733404407 23200213221