| Base | Representation |
|---|---|
| bin | 1010110001010110011… |
| … | …1010101111110100100 |
| 3 | 122200122012010101221100 |
| 4 | 2230111213111332210 |
| 5 | 11012433313311100 |
| 6 | 221001542520100 |
| 7 | 16240421664501 |
| oct | 2542547257644 |
| 9 | 580565111840 |
| 10 | 185046228900 |
| 11 | 71528854695 |
| 12 | 2ba43736030 |
| 13 | 145b023ac00 |
| 14 | 8d560924a8 |
| 15 | 4c30742400 |
| hex | 2b159d5fa4 |
185046228900 has 243 divisors, whose sum is σ = 628635812259. Its totient is φ = 45508544640.
The previous prime is 185046228877. The next prime is 185046228907. The reversal of 185046228900 is 9822640581.
The square root of 185046228900 is 430170.
It is a perfect power (a square), and thus also a powerful number.
185046228900 is a `hidden beast` number, since 1 + 8 + 504 + 62 + 2 + 89 + 0 + 0 = 666.
185046228900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 47695939236 + 137350289664 = 218394^2 + 370608^2 .
It is a super-2 number, since 2×1850462289002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (185046228907) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 167765749 + ... + 167766851.
Almost surely, 2185046228900 is an apocalyptic number.
185046228900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
185046228900 is the 430170-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 185046228900
185046228900 is an abundant number, since it is smaller than the sum of its proper divisors (443589583359).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
185046228900 is a wasteful number, since it uses less digits than its factorization.
185046228900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2252 (or 1126 counting only the distinct ones).
The product of its (nonzero) digits is 276480, while the sum is 45.
The spelling of 185046228900 in words is "one hundred eighty-five billion, forty-six million, two hundred twenty-eight thousand, nine hundred".
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