Search a number
-
+
225201760 = 2557201073
BaseRepresentation
bin11010110110001…
…00111001100000
3120200202102201221
431123010321200
5430122424020
634202504424
75403116620
oct1533047140
9520672657
10225201760
11106136463
1263505114
133786c2a4
1421ca2880
1514b866aa
hexd6c4e60

225201760 has 48 divisors (see below), whose sum is σ = 608047776. Its totient is φ = 77211648.

The previous prime is 225201731. The next prime is 225201817. The reversal of 225201760 is 67102522.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 99417 + ... + 101656.

It is an arithmetic number, because the mean of its divisors is an integer number (12667662).

Almost surely, 2225201760 is an apocalyptic number.

225201760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225201760 is an abundant number, since it is smaller than the sum of its proper divisors (382846016).

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

225201760 is a wasteful number, since it uses less digits than its factorization.

225201760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201095 (or 201087 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 225201760 is about 15006.7238263386. The cubic root of 225201760 is about 608.4019445142.

The spelling of 225201760 in words is "two hundred twenty-five million, two hundred one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 201073 402146 804292 1005365 1407511 1608584 2010730 2815022 3217168 4021460 5630044 6434336 7037555 8042920 11260088 14075110 16085840 22520176 28150220 32171680 45040352 56300440 112600880 225201760