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225741040 = 2457257587
BaseRepresentation
bin11010111010010…
…00100011110000
3120201202211111021
431131020203300
5430242203130
634222225224
75410524100
oct1535104360
9521684437
10225741040
11106474648
1263725214
13379ca8a5
1421da3200
1514c4137a
hexd7488f0

225741040 has 60 divisors (see below), whose sum is σ = 610547976. Its totient is φ = 77395584.

The previous prime is 225741001. The next prime is 225741041. The reversal of 225741040 is 40147522.

It is a junction number, because it is equal to n+sod(n) for n = 225740996 and 225741014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225741041) 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 11 ways as a sum of consecutive naturals, for example, 24874 + ... + 32713.

Almost surely, 2225741040 is an apocalyptic number.

225741040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225741040 is an abundant number, since it is smaller than the sum of its proper divisors (384806936).

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

225741040 is a wasteful number, since it uses less digits than its factorization.

225741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57614 (or 57601 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 225741040 is about 15024.6810282282. The cubic root of 225741040 is about 608.8871945024.

Adding to 225741040 its reverse (40147522), we get a palindrome (265888562).

The spelling of 225741040 in words is "two hundred twenty-five million, seven hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 57587 115174 230348 287935 403109 460696 575870 806218 921392 1151740 1612436 2015545 2303480 2821763 3224872 4031090 4606960 5643526 6449744 8062180 11287052 14108815 16124360 22574104 28217630 32248720 45148208 56435260 112870520 225741040