Search a number
-
+
52221312 = 27321113317
BaseRepresentation
bin1100011100110…
…1010110000000
310122021010011200
43013031112000
5101332040222
65103141200
71202605503
oct307152600
9118233150
1052221312
1127528710
12155a4800
13aa854b0
146d1513a
1548b7eac
hex31cd580

52221312 has 192 divisors, whose sum is σ = 177100560. Its totient is φ = 14561280.

The previous prime is 52221289. The next prime is 52221317. The reversal of 52221312 is 21312225.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52221317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164578 + ... + 164894.

Almost surely, 252221312 is an apocalyptic number.

52221312 is a gapful number since it is divisible by the number (52) 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 52221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88550280).

52221312 is an abundant number, since it is smaller than the sum of its proper divisors (124879248).

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

52221312 is a wasteful number, since it uses less digits than its factorization.

52221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 52221312 is about 7226.4314844880. The cubic root of 52221312 is about 373.7798851582.

Adding to 52221312 its reverse (21312225), we get a palindrome (73533537).

It can be divided in two parts, 522213 and 12, that added together give a palindrome (522225).

The spelling of 52221312 in words is "fifty-two million, two hundred twenty-one thousand, three hundred twelve".