| Base | Representation |
|---|---|
| bin | 1100111111001111100… |
| … | …0101000001000000000 |
| 3 | 210022221122221111010202 |
| 4 | 3033303320220020000 |
| 5 | 12123440032240000 |
| 6 | 250301250144332 |
| 7 | 22056331355135 |
| oct | 3176370501000 |
| 9 | 708848844122 |
| 10 | 223135040000 |
| 11 | 866a3a05174 |
| 12 | 372b35820a8 |
| 13 | 1807036cb62 |
| 14 | ab2a8c258c |
| 15 | 5c0e55add5 |
| hex | 33f3e28200 |
223135040000 has 200 divisors, whose sum is σ = 558714825900. Its totient is φ = 88997888000.
The previous prime is 223135039997. The next prime is 223135040003. The reversal of 223135040000 is 40531322.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (223135039997) and next prime (223135040003).
It can be written as a sum of positive squares in 10 ways, for example, as 43670968576 + 179464071424 = 208976^2 + 423632^2 .
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-3 number, since 3×2231350400003 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223135040003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143679224 + ... + 143680776.
Almost surely, 2223135040000 is an apocalyptic number.
223135040000 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 223135040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279357412950).
223135040000 is an abundant number, since it is smaller than the sum of its proper divisors (335579785900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223135040000 is an frugal number, since it uses more digits than its factorization.
223135040000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2040 (or 2009 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
Adding to 223135040000 its reverse (40531322), we get a palindrome (223175571322).
The spelling of 223135040000 in words is "two hundred twenty-three billion, one hundred thirty-five million, forty thousand".
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