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225041460 = 223571274219
BaseRepresentation
bin11010110100111…
…01110000110100
3120200110021211220
431122131300310
5430102311320
634155230340
75401551360
oct1532356064
9520407756
10225041460
11106036a86
12634483b0
1337814337
1421c602a0
1514b53e40
hexd69dc34

225041460 has 96 divisors (see below), whose sum is σ = 725975040. Its totient is φ = 51020928.

The previous prime is 225041449. The next prime is 225041477. The reversal of 225041460 is 64140522.

225041460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225041460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51231 + ... + 55449.

It is an arithmetic number, because the mean of its divisors is an integer number (7562240).

Almost surely, 2225041460 is an apocalyptic number.

225041460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225041460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362987520).

225041460 is an abundant number, since it is smaller than the sum of its proper divisors (500933580).

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

225041460 is a wasteful number, since it uses less digits than its factorization.

225041460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 225041460 is about 15001.3819363417. The cubic root of 225041460 is about 608.2575554992.

Adding to 225041460 its reverse (64140522), we get a palindrome (289181982).

The spelling of 225041460 in words is "two hundred twenty-five million, forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 127 140 210 254 381 420 508 635 762 889 1270 1524 1778 1905 2540 2667 3556 3810 4219 4445 5334 7620 8438 8890 10668 12657 13335 16876 17780 21095 25314 26670 29533 42190 50628 53340 59066 63285 84380 88599 118132 126570 147665 177198 253140 295330 354396 442995 535813 590660 885990 1071626 1607439 1771980 2143252 2679065 3214878 3750691 5358130 6429756 7501382 8037195 10716260 11252073 15002764 16074390 18753455 22504146 32148780 37506910 45008292 56260365 75013820 112520730 225041460