Search a number
-
+
213195216 = 24313341659
BaseRepresentation
bin11001011010100…
…01100111010000
3112212011102212010
430231101213100
5414034221331
633053302520
75166062253
oct1455214720
9485142763
10213195216
11aa3857a3
125b494a40
1335227320
142045909a
1513ab3e46
hexcb519d0

213195216 has 40 divisors (see below), whose sum is σ = 593121760. Its totient is φ = 65598336.

The previous prime is 213195209. The next prime is 213195217. The reversal of 213195216 is 612591312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213195217) 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 7 ways as a sum of consecutive naturals, for example, 170206 + ... + 171453.

It is an arithmetic number, because the mean of its divisors is an integer number (14828044).

Almost surely, 2213195216 is an apocalyptic number.

213195216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213195216 is an abundant number, since it is smaller than the sum of its proper divisors (379926544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213195216 is a wasteful number, since it uses less digits than its factorization.

213195216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341683 (or 341677 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 213195216 is about 14601.2059775897. The cubic root of 213195216 is about 597.3916551039.

The spelling of 213195216 in words is "two hundred thirteen million, one hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 341659 683318 1024977 1366636 2049954 2733272 4099908 4441567 5466544 8199816 8883134 13324701 16399632 17766268 26649402 35532536 53298804 71065072 106597608 213195216