Search a number
-
+
225841840 = 2457403289
BaseRepresentation
bin11010111011000…
…01001010110000
3120201221221202121
431131201022300
5430303414330
634224324024
75411424010
oct1535411260
9521857677
10225841840
11106533354
1263773614
1337a34733
1421dcbc40
1514c6117a
hexd7612b0

225841840 has 40 divisors (see below), whose sum is σ = 600095520. Its totient is φ = 77431296.

The previous prime is 225841813. The next prime is 225841849. The reversal of 225841840 is 48148522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 225841796 and 225841805.

It is not an unprimeable number, because it can be changed into a prime (225841849) by changing a digit.

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, 201085 + ... + 202204.

It is an arithmetic number, because the mean of its divisors is an integer number (15002388).

Almost surely, 2225841840 is an apocalyptic number.

225841840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225841840 is an abundant number, since it is smaller than the sum of its proper divisors (374253680).

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

225841840 is a wasteful number, since it uses less digits than its factorization.

225841840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403309 (or 403303 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 225841840 is about 15028.0351343747. The cubic root of 225841840 is about 608.9778096841.

The spelling of 225841840 in words is "two hundred twenty-five million, eight hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 403289 806578 1613156 2016445 2823023 3226312 4032890 5646046 6452624 8065780 11292092 14115115 16131560 22584184 28230230 32263120 45168368 56460460 112920920 225841840