| Base | Representation |
|---|---|
| bin | 1100111111010000011… |
| … | …0101010110000100000 |
| 3 | 210022221220212111020200 |
| 4 | 3033310012222300200 |
| 5 | 12123442003031200 |
| 6 | 250301501105200 |
| 7 | 22056404555262 |
| oct | 3176406526040 |
| 9 | 708856774220 |
| 10 | 223138720800 |
| 11 | 866a5a99656 |
| 12 | 372b4858200 |
| 13 | 1807105b348 |
| 14 | ab2b19db32 |
| 15 | 5c0ea36800 |
| hex | 33f41aac20 |
223138720800 has 486 divisors, whose sum is σ = 833279242887. Its totient is φ = 56179491840.
The previous prime is 223138720787. The next prime is 223138720807. The reversal of 223138720800 is 8027831322.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 193033694736 + 30105026064 = 439356^2 + 173508^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=334020.
It is a super-3 number, since 3×2231387208003 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (223138720807) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 761565454 + ... + 761565746.
Almost surely, 2223138720800 is an apocalyptic number.
223138720800 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 223138720800
223138720800 is an abundant number, since it is smaller than the sum of its proper divisors (610140522087).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223138720800 is a wasteful number, since it uses less digits than its factorization.
223138720800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 650 (or 322 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 223138720800 in words is "two hundred twenty-three billion, one hundred thirty-eight million, seven hundred twenty thousand, eight hundred".
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