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225211040 = 2551407569
BaseRepresentation
bin11010110110001…
…11001010100000
3120200202220110122
431123013022200
5430123223130
634203015412
75403155645
oct1533071240
9520686418
10225211040
1110614242a
126350a568
1337873592
1421ca5dcc
1514b892e5
hexd6c72a0

225211040 has 24 divisors (see below), whose sum is σ = 532061460. Its totient is φ = 90084352.

The previous prime is 225211039. The next prime is 225211057. The reversal of 225211040 is 40112522.

It can be written as a sum of positive squares in 2 ways, for example, as 185722384 + 39488656 = 13628^2 + 6284^2 .

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 3 ways as a sum of consecutive naturals, for example, 703625 + ... + 703944.

Almost surely, 2225211040 is an apocalyptic number.

225211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225211040 is an abundant number, since it is smaller than the sum of its proper divisors (306850420).

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

225211040 is a wasteful number, since it uses less digits than its factorization.

225211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407584 (or 1407576 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 225211040 is about 15007.0330178886. The cubic root of 225211040 is about 608.4103013058.

Adding to 225211040 its reverse (40112522), we get a palindrome (265323562).

The spelling of 225211040 in words is "two hundred twenty-five million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1407569 2815138 5630276 7037845 11260552 14075690 22521104 28151380 45042208 56302760 112605520 225211040