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252205540 = 22517741781
BaseRepresentation
bin11110000100001…
…01100111100100
3122120120100221221
433002011213210
51004031034130
641005350124
76151466056
oct1702054744
9576510857
10252205540
1111a3aa834
1270568344
1340335562
14256d18d6
151721c87a
hexf0859e4

252205540 has 24 divisors (see below), whose sum is σ = 560787192. Its totient is φ = 94947840.

The previous prime is 252205519. The next prime is 252205559. The reversal of 252205540 is 45502252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82737216 + 169468324 = 9096^2 + 13018^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 370551 + ... + 371230.

It is an arithmetic number, because the mean of its divisors is an integer number (23366133).

Almost surely, 2252205540 is an apocalyptic number.

252205540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252205540 is an abundant number, since it is smaller than the sum of its proper divisors (308581652).

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

252205540 is a wasteful number, since it uses less digits than its factorization.

252205540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741807 (or 741805 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 252205540 is about 15880.9804483225. The cubic root of 252205540 is about 631.8076412129.

Adding to 252205540 its reverse (45502252), we get a palindrome (297707792).

The spelling of 252205540 in words is "two hundred fifty-two million, two hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 741781 1483562 2967124 3708905 7417810 12610277 14835620 25220554 50441108 63051385 126102770 252205540