Search a number
-
+
23384220561 = 3413213072
BaseRepresentation
bin10101110001110011…
…101110001110010001
32020100200112111010000
4111301303232032101
5340342330024221
614424221000213
71455324411102
oct256163561621
966320474100
1023384220561
119a0a868019
1246473b3069
132288867400
1411bb9463a9
1591ce07e26
hex571cee391

23384220561 has 45 divisors (see below), whose sum is σ = 37854720651. Its totient is φ = 14379279408.

The previous prime is 23384220547. The next prime is 23384220611. The reversal of 23384220561 is 16502248332.

The square root of 23384220561 is 152919.

It is a perfect power (a square), and thus also a powerful number.

23384220561 is a `hidden beast` number, since 2 + 3 + 38 + 42 + 20 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3459204225 + 19925016336 = 58815^2 + 141156^2 .

It is not a de Polignac number, because 23384220561 - 227 = 23250002833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23384220961) 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 44 ways as a sum of consecutive naturals, for example, 17890870 + ... + 17892176.

Almost surely, 223384220561 is an apocalyptic number.

23384220561 is the 152919-th square number.

23384220561 is the 76460-th centered octagonal number.

It is an amenable number.

23384220561 is a deficient number, since it is larger than the sum of its proper divisors (14470500090).

23384220561 is an frugal number, since it uses more digits than its factorization.

23384220561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 23384220561 by its sum of digits (36), we get a square (841831940196 = 9175142).

Adding to 23384220561 its reverse (16502248332), we get a palindrome (39886468893).

The spelling of 23384220561 in words is "twenty-three billion, three hundred eighty-four million, two hundred twenty thousand, five hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1307 1521 3921 4563 11763 13689 16991 35289 50973 105867 152919 220883 458757 662649 1376271 1708249 1987947 5124747 5963841 15374241 17891523 22207237 46122723 66621711 138368169 199865133 288694081 599595399 866082243 1798786197 2598246729 7794740187 23384220561