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2252415140 = 2251011115057
BaseRepresentation
bin1000011001000001…
…0010000010100100
312210222022112200222
42012100102002210
514103104241030
61011301023512
7106550132663
oct20620220244
95728275628
102252415140
11a5647a918
1252a3b4b98
1329b854131
14175202dda
15d2b223e5
hex864120a4

2252415140 has 24 divisors (see below), whose sum is σ = 4776908472. Its totient is φ = 892044800.

The previous prime is 2252415133. The next prime is 2252415199. The reversal of 2252415140 is 415142522.

It can be written as a sum of positive squares in 4 ways, for example, as 691058944 + 1561356196 = 26288^2 + 39514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555509 + ... + 559548.

It is an arithmetic number, because the mean of its divisors is an integer number (199037853).

Almost surely, 22252415140 is an apocalyptic number.

2252415140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252415140 is an abundant number, since it is smaller than the sum of its proper divisors (2524493332).

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

2252415140 is a wasteful number, since it uses less digits than its factorization.

2252415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115167 (or 1115165 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2252415140 is about 47459.6158855084. The cubic root of 2252415140 is about 1310.8393781452.

Adding to 2252415140 its reverse (415142522), we get a palindrome (2667557662).

The spelling of 2252415140 in words is "two billion, two hundred fifty-two million, four hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1115057 2230114 4460228 5575285 11150570 22301140 112620757 225241514 450483028 563103785 1126207570 2252415140