Base | Representation |
---|---|
bin | 11001011111011… |
… | …10000100111000 |
3 | 112220100222222010 |
4 | 30233232010320 |
5 | 414220223323 |
6 | 33115125520 |
7 | 5204401554 |
oct | 1457560470 |
9 | 486328863 |
10 | 213836088 |
11 | aa783244 |
12 | 5b7438a0 |
13 | 353bcc3b |
14 | 20584864 |
15 | 13b8dc93 |
hex | cbee138 |
213836088 has 64 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 69416576.
The previous prime is 213836059. The next prime is 213836101. The reversal of 213836088 is 880638312.
It is a super-3 number, since 3×2138360883 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330181 + ... + 330827.
It is an arithmetic number, because the mean of its divisors is an integer number (8573040).
Almost surely, 2213836088 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 213836088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).
213836088 is an abundant number, since it is smaller than the sum of its proper divisors (334838472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213836088 is a wasteful number, since it uses less digits than its factorization.
213836088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 996 (or 992 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 39.
The square root of 213836088 is about 14623.1353683128. The cubic root of 213836088 is about 597.9896494519.
It can be divided in two parts, 2138 and 36088, that added together give a triangular number (38226 = T276).
The spelling of 213836088 in words is "two hundred thirteen million, eight hundred thirty-six thousand, eighty-eight".
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