Base | Representation |
---|---|
bin | 11010100110100… |
… | …00110000000000 |
3 | 120112220100120120 |
4 | 31103100300000 |
5 | 424111400102 |
6 | 34050540240 |
7 | 5346525165 |
oct | 1523206000 |
9 | 515810516 |
10 | 223153152 |
11 | 104a672a2 |
12 | 62897680 |
13 | 373029b1 |
14 | 218cc06c |
15 | 148ce6bc |
hex | d4d0c00 |
223153152 has 88 divisors (see below), whose sum is σ = 629919216. Its totient is φ = 69992448.
The previous prime is 223153127. The next prime is 223153207. The reversal of 223153152 is 251351322.
It is a happy number.
223153152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231531523 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50088 + ... + 54360.
Almost surely, 2223153152 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 223153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314959608).
223153152 is an abundant number, since it is smaller than the sum of its proper divisors (406766064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223153152 is a wasteful number, since it uses less digits than its factorization.
223153152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4313 (or 4295 counting only the distinct ones).
The product of its digits is 1800, while the sum is 24.
The square root of 223153152 is about 14938.3115511761. The cubic root of 223153152 is about 606.5514917746.
The spelling of 223153152 in words is "two hundred twenty-three million, one hundred fifty-three thousand, one hundred fifty-two".
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