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2252515050 = 2325225719477
BaseRepresentation
bin1000011001000010…
…1010011011101010
312210222111121202100
42012100222123222
514103120440200
61011303114230
7106551030162
oct20620523352
95728447670
102252515050
11a56538995
1252a442976
1329b88a756
1417522b5a2
15d2b41d00
hex8642a6ea

2252515050 has 72 divisors (see below), whose sum is σ = 6075616716. Its totient is φ = 598302720.

The previous prime is 2252515049. The next prime is 2252515061. The reversal of 2252515050 is 505152522.

It can be written as a sum of positive squares in 6 ways, for example, as 1758208761 + 494306289 = 41931^2 + 22233^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105912 + ... + 125388.

Almost surely, 22252515050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252515050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037808358).

2252515050 is an abundant number, since it is smaller than the sum of its proper divisors (3823101666).

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

2252515050 is a wasteful number, since it uses less digits than its factorization.

2252515050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19752 (or 19744 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 2252515050 is about 47460.6684529411. The cubic root of 2252515050 is about 1310.8587594193.

Adding to 2252515050 its reverse (505152522), we get a palindrome (2757667572).

The spelling of 2252515050 in words is "two billion, two hundred fifty-two million, five hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 257 450 514 771 1285 1542 2313 2570 3855 4626 6425 7710 11565 12850 19275 19477 23130 38550 38954 57825 58431 97385 115650 116862 175293 194770 292155 350586 486925 584310 876465 973850 1460775 1752930 2921550 4382325 5005589 8764650 10011178 15016767 25027945 30033534 45050301 50055890 75083835 90100602 125139725 150167670 225251505 250279450 375419175 450503010 750838350 1126257525 2252515050