Base | Representation |
---|---|
bin | 11011101011101… |
… | …10101100000000 |
3 | 121011222001221002 |
4 | 31311312230000 |
5 | 433422041230 |
6 | 35013151132 |
7 | 5516564303 |
oct | 1565665400 |
9 | 534861832 |
10 | 232221440 |
11 | 10a0a0450 |
12 | 6592b4a8 |
13 | 39159449 |
14 | 22bacb3a |
15 | 155c1545 |
hex | dd76b00 |
232221440 has 72 divisors (see below), whose sum is σ = 606847248. Its totient is φ = 84439040.
The previous prime is 232221427. The next prime is 232221443. The reversal of 232221440 is 44122232.
232221440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (232221443) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5834 + ... + 22326.
It is an arithmetic number, because the mean of its divisors is an integer number (8428434).
Almost surely, 2232221440 is an apocalyptic number.
232221440 is a gapful number since it is divisible by the number (20) 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 232221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303423624).
232221440 is an abundant number, since it is smaller than the sum of its proper divisors (374625808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232221440 is a wasteful number, since it uses less digits than its factorization.
232221440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16525 (or 16511 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 232221440 is about 15238.8136021148. The cubic root of 232221440 is about 614.6588011995.
Adding to 232221440 its reverse (44122232), we get a palindrome (276343672).
The spelling of 232221440 in words is "two hundred thirty-two million, two hundred twenty-one thousand, four hundred forty".
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