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213445664 = 25311032089
BaseRepresentation
bin11001011100011…
…10110000100000
3112212122011101222
430232032300200
5414120230124
633102514212
75201154365
oct1456166040
9485564358
10213445664
11aa536983
125b595968
13352b4313
14204c246c
1513b1325e
hexcb8ec20

213445664 has 48 divisors (see below), whose sum is σ = 438197760. Its totient is φ = 102228480.

The previous prime is 213445663. The next prime is 213445669. The reversal of 213445664 is 466544312.

It is a super-3 number, since 3×2134456643 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213445663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101132 + ... + 103220.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2213445664 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 213445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219098880).

213445664 is an abundant number, since it is smaller than the sum of its proper divisors (224752096).

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

213445664 is a wasteful number, since it uses less digits than its factorization.

213445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 213445664 is about 14609.7797382438. The cubic root of 213445664 is about 597.6254893021.

Adding to 213445664 its reverse (466544312), we get a palindrome (679989976).

The spelling of 213445664 in words is "two hundred thirteen million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 103 124 206 248 412 496 824 992 1648 2089 3193 3296 4178 6386 8356 12772 16712 25544 33424 51088 64759 66848 102176 129518 215167 259036 430334 518072 860668 1036144 1721336 2072288 3442672 6670177 6885344 13340354 26680708 53361416 106722832 213445664