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52220313 = 3223772441
BaseRepresentation
bin1100011100110…
…1000110011001
310122021001210200
43013031012121
5101332022223
65103132413
71202602545
oct307150631
9118231720
1052220313
1127527992
12155a4109
13aa84bc2
146d14a25
1548b7a43
hex31cd199

52220313 has 12 divisors (see below), whose sum is σ = 75491988. Its totient is φ = 34784640.

The previous prime is 52220309. The next prime is 52220323. The reversal of 52220313 is 31302225.

52220313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11923209 + 40297104 = 3453^2 + 6348^2 .

It is not a de Polignac number, because 52220313 - 22 = 52220309 is a prime.

It is a super-2 number, since 2×522203132 = 5453922179635938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52220323) 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 11 ways as a sum of consecutive naturals, for example, 20173 + ... + 22613.

It is an arithmetic number, because the mean of its divisors is an integer number (6290999).

Almost surely, 252220313 is an apocalyptic number.

It is an amenable number.

52220313 is a deficient number, since it is larger than the sum of its proper divisors (23271675).

52220313 is a wasteful number, since it uses less digits than its factorization.

52220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52220313 is about 7226.3623629043. The cubic root of 52220313 is about 373.7775016582. Note that the first 3 decimals are identical.

Adding to 52220313 its reverse (31302225), we get a palindrome (83522538).

The spelling of 52220313 in words is "fifty-two million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 2377 2441 7131 7323 21393 21969 5802257 17406771 52220313