Base | Representation |
---|---|
bin | 11011101101001… |
… | …11110000100000 |
3 | 121012100021122020 |
4 | 31312213300200 |
5 | 434000004212 |
6 | 35021341440 |
7 | 5521362264 |
oct | 1566476040 |
9 | 535307566 |
10 | 232422432 |
11 | 10a218460 |
12 | 65a07880 |
13 | 391c9a88 |
14 | 22c220a4 |
15 | 15610d8c |
hex | dda7c20 |
232422432 has 96 divisors (see below), whose sum is σ = 673323840. Its totient is φ = 69611520.
The previous prime is 232422409. The next prime is 232422451. The reversal of 232422432 is 234224232.
It is a happy number.
232422432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92748 + ... + 95220.
It is an arithmetic number, because the mean of its divisors is an integer number (7013790).
Almost surely, 2232422432 is an apocalyptic number.
232422432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336661920).
232422432 is an abundant number, since it is smaller than the sum of its proper divisors (440901408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232422432 is a wasteful number, since it uses less digits than its factorization.
232422432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2586 (or 2578 counting only the distinct ones).
The product of its digits is 4608, while the sum is 24.
The square root of 232422432 is about 15245.4069148711. The cubic root of 232422432 is about 614.8360829590.
Adding to 232422432 its reverse (234224232), we get a palindrome (466646664).
The spelling of 232422432 in words is "two hundred thirty-two million, four hundred twenty-two thousand, four hundred thirty-two".
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