| Base | Representation |
|---|---|
| bin | 1100110001010010011… |
| … | …1010110011110100100 |
| 3 | 202222021121110200211100 |
| 4 | 3030110213112132210 |
| 5 | 12043302113121400 |
| 6 | 244441435440100 |
| 7 | 21564445235601 |
| oct | 3142447263644 |
| 9 | 688247420740 |
| 10 | 219389192100 |
| 11 | 85051530201 |
| 12 | 36628bb6030 |
| 13 | 178c42b5a00 |
| 14 | a8932096a8 |
| 15 | 5a9078a100 |
| hex | 33149d67a4 |
219389192100 has 243 divisors, whose sum is σ = 745249943529. Its totient is φ = 53958528000.
The previous prime is 219389192083. The next prime is 219389192101. The reversal of 219389192100 is 1291983912.
The square root of 219389192100 is 468390.
It is a perfect power (a square), and thus also a powerful number.
219389192100 is digitally balanced in base 2, 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 13 ways, for example, as 170488061604 + 48901130496 = 412902^2 + 221136^2 .
It is a super-2 number, since 2×2193891921002 (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 (219389192101) by changing a digit.
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 80 ways as a sum of consecutive naturals, for example, 182671500 + ... + 182672700.
Almost surely, 2219389192100 is an apocalyptic number.
219389192100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
219389192100 is the 468390-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 219389192100
219389192100 is an abundant number, since it is smaller than the sum of its proper divisors (525860751429).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
219389192100 is a wasteful number, since it uses less digits than its factorization.
219389192100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2448 (or 1224 counting only the distinct ones).
The product of its (nonzero) digits is 69984, while the sum is 45.
The spelling of 219389192100 in words is "two hundred nineteen billion, three hundred eighty-nine million, one hundred ninety-two thousand, one hundred".
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