Search a number
-
+
252122340 = 223559671063
BaseRepresentation
bin11110000011100…
…01010011100100
3122120102010211110
433001301103210
51004020403330
641003505020
76151001361
oct1701612344
9576363743
10252122340
1111a353278
1270528170
1340306722
14256ad468
1517202db0
hexf0714e4

252122340 has 96 divisors (see below), whose sum is σ = 729308160. Its totient is φ = 65045376.

The previous prime is 252122309. The next prime is 252122371. The reversal of 252122340 is 43221252.

It is an interprime number because it is at equal distance from previous prime (252122309) and next prime (252122371).

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 31 ways as a sum of consecutive naturals, for example, 236649 + ... + 237711.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2252122340 is an apocalyptic number.

252122340 is a gapful number since it is divisible by the number (20) 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 252122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

252122340 is an abundant number, since it is smaller than the sum of its proper divisors (477185820).

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

252122340 is a wasteful number, since it uses less digits than its factorization.

252122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252122340 is about 15878.3607466262. The cubic root of 252122340 is about 631.7381579690.

Adding to 252122340 its reverse (43221252), we get a palindrome (295343592).

The spelling of 252122340 in words is "two hundred fifty-two million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 67 118 134 177 201 236 268 295 335 354 402 590 670 708 804 885 1005 1063 1180 1340 1770 2010 2126 3189 3540 3953 4020 4252 5315 6378 7906 10630 11859 12756 15812 15945 19765 21260 23718 31890 39530 47436 59295 62717 63780 71221 79060 118590 125434 142442 188151 213663 237180 250868 284884 313585 356105 376302 427326 627170 712210 752604 854652 940755 1068315 1254340 1424420 1881510 2136630 3763020 4202039 4273260 8404078 12606117 16808156 21010195 25212234 42020390 50424468 63030585 84040780 126061170 252122340