Search a number
-
+
252045220 = 22572257189
BaseRepresentation
bin11110000010111…
…10011110100100
3122120021020001011
433001132132210
51004010421340
641002112004
76150230500
oct1701363644
9576236034
10252045220
1111a300339
12704ab604
13402aa5ab
142568d300
15171da0ea
hexf05e7a4

252045220 has 36 divisors (see below), whose sum is σ = 615712860. Its totient is φ = 86415168.

The previous prime is 252045193. The next prime is 252045253. The reversal of 252045220 is 22540252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 223143844 = 5376^2 + 14938^2 .

It is a super-3 number, since 3×2520452203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252045191 and 252045200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127615 + ... + 129574.

It is an arithmetic number, because the mean of its divisors is an integer number (17103135).

Almost surely, 2252045220 is an apocalyptic number.

252045220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252045220 is an abundant number, since it is smaller than the sum of its proper divisors (363667640).

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

252045220 is a wasteful number, since it uses less digits than its factorization.

252045220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257212 (or 257203 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 252045220 is about 15875.9320986202. The cubic root of 252045220 is about 631.6737386940.

Adding to 252045220 its reverse (22540252), we get a palindrome (274585472).

The spelling of 252045220 in words is "two hundred fifty-two million, forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 257189 514378 1028756 1285945 1800323 2571890 3600646 5143780 7201292 9001615 12602261 18003230 25204522 36006460 50409044 63011305 126022610 252045220