| Base | Representation |
|---|---|
| bin | 1101011001101001101… |
| … | …1101110100001100000 |
| 3 | 211000020201111110200000 |
| 4 | 3112122123232201200 |
| 5 | 12232444400221100 |
| 6 | 253432532100000 |
| 7 | 22430112431100 |
| oct | 3263233564140 |
| 9 | 730221443600 |
| 10 | 230224226400 |
| 11 | 89701634903 |
| 12 | 38751764600 |
| 13 | 1892cca15cc |
| 14 | b200217200 |
| 15 | 5ec6ae0900 |
| hex | 359a6ee860 |
230224226400 has 648 divisors, whose sum is σ = 979388799480. Its totient is φ = 52620503040.
The previous prime is 230224226369. The next prime is 230224226423. The reversal of 230224226400 is 4622422032.
It is a happy number.
230224226400 is a `hidden beast` number, since 2 + 30 + 2 + 2 + 4 + 226 + 400 = 666.
230224226400 is digitally balanced in base 2, because in such base 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 (648).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9513516 + ... + 9537684.
Almost surely, 2230224226400 is an apocalyptic number.
230224226400 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 230224226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489694399740).
230224226400 is an abundant number, since it is smaller than the sum of its proper divisors (749164573080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230224226400 is a wasteful number, since it uses less digits than its factorization.
230224226400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24218 (or 24186 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 230224226400 its reverse (4622422032), we get a palindrome (234846648432).
The spelling of 230224226400 in words is "two hundred thirty billion, two hundred twenty-four million, two hundred twenty-six thousand, four hundred".
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