| Base | Representation |
|---|---|
| bin | 1100010100101111001… |
| … | …0111011110010100000 |
| 3 | 202020111111000110201210 |
| 4 | 3011023302323302200 |
| 5 | 11432103102301200 |
| 6 | 241133134230120 |
| 7 | 21203513103300 |
| oct | 3051362736240 |
| 9 | 666444013653 |
| 10 | 211725040800 |
| 11 | 818792a1969 |
| 12 | 3504a355340 |
| 13 | 16c72512840 |
| 14 | a3673a7600 |
| 15 | 57929d0650 |
| hex | 314bcbbca0 |
211725040800 has 1728 divisors, whose sum is σ = 938088708480. Its totient is φ = 40967700480.
The previous prime is 211725040799. The next prime is 211725040801. The reversal of 211725040800 is 8040527112.
211725040800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (211725040799) and next prime (211725040801).
It is a super-3 number, since 3×2117250408003 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (211725040801) 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 287 ways as a sum of consecutive naturals, for example, 1074746302 + ... + 1074746498.
It is an arithmetic number, because the mean of its divisors is an integer number (542875410).
Almost surely, 2211725040800 is an apocalyptic number.
211725040800 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 211725040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469044354240).
211725040800 is an abundant number, since it is smaller than the sum of its proper divisors (726363667680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211725040800 is a wasteful number, since it uses less digits than its factorization.
211725040800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 4480, while the sum is 30.
Adding to 211725040800 its reverse (8040527112), we get a palindrome (219765567912).
The spelling of 211725040800 in words is "two hundred eleven billion, seven hundred twenty-five million, forty thousand, eight hundred".
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