| Base | Representation |
|---|---|
| bin | 11001011011101… |
| … | …00101000101000 |
| 3 | 112212102201122000 |
| 4 | 30231310220220 |
| 5 | 414103314124 |
| 6 | 33100331000 |
| 7 | 5200230420 |
| oct | 1455645050 |
| 9 | 485381560 |
| 10 | 213338664 |
| 11 | aa473550 |
| 12 | 5b543a60 |
| 13 | 352776c6 |
| 14 | 20495480 |
| 15 | 13ae16c9 |
| hex | cb74a28 |
213338664 has 256 divisors, whose sum is σ = 752025600. Its totient is φ = 54432000.
The previous prime is 213338581. The next prime is 213338677. The reversal of 213338664 is 466833312.
213338664 = T199 + T200 + ... + T1087.
213338664 is a `hidden beast` number, since 213 + 3 + 386 + 64 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 1679769 + ... + 1679895.
It is an arithmetic number, because the mean of its divisors is an integer number (2937600).
Almost surely, 2213338664 is an apocalyptic number.
213338664 is a gapful number since it is divisible by the number (24) 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 213338664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376012800).
213338664 is an abundant number, since it is smaller than the sum of its proper divisors (538686936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213338664 is a wasteful number, since it uses less digits than its factorization.
213338664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 251 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 213338664 is about 14606.1173485632. The cubic root of 213338664 is about 597.5256096818.
The spelling of 213338664 in words is "two hundred thirteen million, three hundred thirty-eight thousand, six hundred sixty-four".
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