Search a number
-
+
23211011232 = 253280593789
BaseRepresentation
bin10101100111011110…
…111110110010100000
32012220121121112120200
4111213132332302200
5340014004324412
614355112305200
71451122224453
oct254736766240
965817545520
1023211011232
119931013312
1245b93a2200
13225ba00396
1411a293949a
1590cae19dc
hex5677beca0

23211011232 has 36 divisors (see below), whose sum is σ = 66006314010. Its totient is φ = 7737003648.

The previous prime is 23211011189. The next prime is 23211011233.

23211011232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 21128366736 + 2082644496 = 145356^2 + 45636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (23211011233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40296607 + ... + 40297182.

Almost surely, 223211011232 is an apocalyptic number.

It is an amenable number.

23211011232 is an abundant number, since it is smaller than the sum of its proper divisors (42795302778).

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

23211011232 is a wasteful number, since it uses less digits than its factorization.

23211011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80593805 (or 80593794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 232110 and 11232, that added together give a palindrome (243342).

The spelling of 23211011232 in words is "twenty-three billion, two hundred eleven million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80593789 161187578 241781367 322375156 483562734 644750312 725344101 967125468 1289500624 1450688202 1934250936 2579001248 2901376404 3868501872 5802752808 7737003744 11605505616 23211011232