Search a number
-
+
232424323424232 = 233831732396074649
BaseRepresentation
bin110100110110001110000001…
…001111000001111111101000
31010110221112210201120000100120
4310312032001033001333220
5220431020003244033412
62142154132105203240
766646050256063302
oct6466160117017750
91113845721500316
10232424323424232
116806a669313185
1222099483790520
139c8c69a8a9834
14415757c1ac972
151bd0d53d19b8c
hexd363813c1fe8

232424323424232 has 256 divisors, whose sum is σ = 595041914880000. Its totient is φ = 75639384619008.

The previous prime is 232424323424219. The next prime is 232424323424239.

232424323424232 is nontrivially palindromic in base 10.

232424323424232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2324243234242322 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232424323424239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49994474644 + ... + 49994479292.

It is an arithmetic number, because the mean of its divisors is an integer number (2324382480000).

Almost surely, 2232424323424232 is an apocalyptic number.

It is an amenable number.

232424323424232 is an abundant number, since it is smaller than the sum of its proper divisors (362617591455768).

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

232424323424232 is a wasteful number, since it uses less digits than its factorization.

232424323424232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5756 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 42.

The spelling of 232424323424232 in words is "two hundred thirty-two trillion, four hundred twenty-four billion, three hundred twenty-three million, four hundred twenty-four thousand, two hundred thirty-two".