| Base | Representation |
|---|---|
| bin | 11001001011101… |
| … | …00010111010000 |
| 3 | 112201111010100112 |
| 4 | 30211310113100 |
| 5 | 413034143100 |
| 6 | 32543340452 |
| 7 | 5143341140 |
| oct | 1445642720 |
| 9 | 481433315 |
| 10 | 211240400 |
| 11 | a9270048 |
| 12 | 5a8b1728 |
| 13 | 349c1627 |
| 14 | 200aa920 |
| 15 | 13829b35 |
| hex | c9745d0 |
211240400 has 120 divisors (see below), whose sum is σ = 595973760. Its totient is φ = 70433280.
The previous prime is 211240399. The next prime is 211240409. The reversal of 211240400 is 4042112.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211240409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102581 + ... + 104619.
It is an arithmetic number, because the mean of its divisors is an integer number (4966448).
Almost surely, 2211240400 is an apocalyptic number.
211240400 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 211240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297986880).
211240400 is an abundant number, since it is smaller than the sum of its proper divisors (384733360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211240400 is a wasteful number, since it uses less digits than its factorization.
211240400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2101 (or 2090 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 211240400 is about 14534.1115999568. Note that the first 3 decimals coincide. The cubic root of 211240400 is about 595.5601908214.
Adding to 211240400 its reverse (4042112), we get a palindrome (215282512).
It can be divided in two parts, 21 and 1240400, that added together give a palindrome (1240421).
The spelling of 211240400 in words is "two hundred eleven million, two hundred forty thousand, four hundred".
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