Base | Representation |
---|---|
bin | 11011101011101… |
… | …11010111000000 |
3 | 121011222012201000 |
4 | 31311313113000 |
5 | 433422133232 |
6 | 35013212000 |
7 | 5516605314 |
oct | 1565672700 |
9 | 534865630 |
10 | 232224192 |
11 | 10a0a2522 |
12 | 65931000 |
13 | 3915a785 |
14 | 22badb44 |
15 | 155c227c |
hex | dd775c0 |
232224192 has 112 divisors (see below), whose sum is σ = 712500480. Its totient is φ = 74029824.
The previous prime is 232224143. The next prime is 232224197. The reversal of 232224192 is 291422232.
232224192 is a `hidden beast` number, since 23 + 222 + 419 + 2 = 666.
232224192 is digitally balanced in base 3, 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 (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232224197) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36823 + ... + 42665.
Almost surely, 2232224192 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 232224192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356250240).
232224192 is an abundant number, since it is smaller than the sum of its proper divisors (480276288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232224192 is a wasteful number, since it uses less digits than its factorization.
232224192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5887 (or 5871 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 232224192 is about 15238.9038975905. The cubic root of 232224192 is about 614.6612292474.
The spelling of 232224192 in words is "two hundred thirty-two million, two hundred twenty-four thousand, one hundred ninety-two".
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