Base | Representation |
---|---|
bin | 11010101000011… |
… | …11100100000000 |
3 | 120120101102111110 |
4 | 31110033210000 |
5 | 424143113212 |
6 | 34100243320 |
7 | 5351646240 |
oct | 1524174400 |
9 | 516342443 |
10 | 223410432 |
11 | 105122623 |
12 | 629a0540 |
13 | 37392b2b |
14 | 21957b20 |
15 | 14930a3c |
hex | d50f900 |
223410432 has 144 divisors (see below), whose sum is σ = 703463040. Its totient is φ = 61587456.
The previous prime is 223410427. The next prime is 223410457. The reversal of 223410432 is 234014322.
It is a super-2 number, since 2×2234104322 = 99824442252853248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 223410399 and 223410408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155188 + ... + 156620.
It is an arithmetic number, because the mean of its divisors is an integer number (4885160).
Almost surely, 2223410432 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 223410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351731520).
223410432 is an abundant number, since it is smaller than the sum of its proper divisors (480052608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223410432 is a wasteful number, since it uses less digits than its factorization.
223410432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 223410432 is about 14946.9204855047. The cubic root of 223410432 is about 606.7845060846.
Adding to 223410432 its reverse (234014322), we get a palindrome (457424754).
The spelling of 223410432 in words is "two hundred twenty-three million, four hundred ten thousand, four hundred thirty-two".
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