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252225041 = 3766110313
BaseRepresentation
bin11110000100010…
…10011000010001
3122120121100201012
433002022120101
51004032200131
641010020305
76151606655
oct1702123021
9576540635
10252225041
1111a413452
1270577695
13403413b3
14256d8a65
151722352b
hexf08a611

252225041 has 8 divisors (see below), whose sum is σ = 259458984. Its totient is φ = 245013120.

The previous prime is 252225031. The next prime is 252225067. The reversal of 252225041 is 140522252.

It can be written as a sum of positive squares in 4 ways, for example, as 112890625 + 139334416 = 10625^2 + 11804^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252225041 - 210 = 252224017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252224998 and 252225016.

It is not an unprimeable number, because it can be changed into a prime (252225031) 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 7 ways as a sum of consecutive naturals, for example, 19301 + ... + 29613.

It is an arithmetic number, because the mean of its divisors is an integer number (32432373).

Almost surely, 2252225041 is an apocalyptic number.

It is an amenable number.

252225041 is a deficient number, since it is larger than the sum of its proper divisors (7233943).

252225041 is a wasteful number, since it uses less digits than its factorization.

252225041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011.

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 252225041 is about 15881.5944098822. The cubic root of 252225041 is about 631.8239249727.

Adding to 252225041 its reverse (140522252), we get a palindrome (392747293).

The spelling of 252225041 in words is "two hundred fifty-two million, two hundred twenty-five thousand, forty-one".

Divisors: 1 37 661 10313 24457 381581 6816893 252225041