Search a number
-
+
221334652 = 2271135939
BaseRepresentation
bin11010011000101…
…00110001111100
3120102110222001201
431030110301330
5423130202102
633543545244
75325212350
oct1514246174
9512428051
10221334652
11103a35000
126215b224
1336b17066
1421577460
1514670987
hexd314c7c

221334652 has 48 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 86219760.

The previous prime is 221334649. The next prime is 221334653. The reversal of 221334652 is 256433122.

221334652 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213346522 = 97978056351922208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 221334652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221334653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34299 + ... + 40237.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2221334652 is an apocalyptic number.

221334652 is a gapful number since it is divisible by the number (22) 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 221334652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

221334652 is an abundant number, since it is smaller than the sum of its proper divisors (265650308).

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

221334652 is a wasteful number, since it uses less digits than its factorization.

221334652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983 (or 5959 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 221334652 is about 14877.3200543646. The cubic root of 221334652 is about 604.8993772049.

Adding to 221334652 its reverse (256433122), we get a palindrome (477767774).

The spelling of 221334652 in words is "two hundred twenty-one million, three hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1331 1694 2662 3388 5324 5939 9317 11878 18634 23756 37268 41573 65329 83146 130658 166292 261316 457303 718619 914606 1437238 1829212 2874476 5030333 7904809 10060666 15809618 20121332 31619236 55333663 110667326 221334652