Search a number
-
+
225241000 = 2353225241
BaseRepresentation
bin11010110110011…
…10011110101000
3120200211102120021
431123032132220
5430130203000
634203410224
75403342205
oct1533163650
9520742507
10225241000
11106162996
1263523974
13378840ca
1421cb2cac
1514b9311a
hexd6ce7a8

225241000 has 32 divisors (see below), whose sum is σ = 527066280. Its totient is φ = 90096000.

The previous prime is 225240997. The next prime is 225241013. The reversal of 225241000 is 142522.

225241000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48191364 + 177049636 = 6942^2 + 13306^2 .

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, 111621 + ... + 113620.

Almost surely, 2225241000 is an apocalyptic number.

225241000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225241000 is an abundant number, since it is smaller than the sum of its proper divisors (301825280).

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

225241000 is a wasteful number, since it uses less digits than its factorization.

225241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225262 (or 225248 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 225241000 is about 15008.0311833365. The cubic root of 225241000 is about 608.4372792082.

Adding to 225241000 its reverse (142522), we get a palindrome (225383522).

The spelling of 225241000 in words is "two hundred twenty-five million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 225241 450482 900964 1126205 1801928 2252410 4504820 5631025 9009640 11262050 22524100 28155125 45048200 56310250 112620500 225241000