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225041440 = 25513108193
BaseRepresentation
bin11010110100111…
…01110000100000
3120200110021211011
431122131300200
5430102311230
634155230304
75401551331
oct1532356040
9520407734
10225041440
11106036a68
1263448394
1337814320
1421c60288
1514b53e2a
hexd69dc20

225041440 has 48 divisors (see below), whose sum is σ = 572562648. Its totient is φ = 83091456.

The previous prime is 225041429. The next prime is 225041449. The reversal of 225041440 is 44140522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 139145616 + 85895824 = 11796^2 + 9268^2 .

It is not an unprimeable number, because it can be changed into a prime (225041449) 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, 52017 + ... + 56176.

Almost surely, 2225041440 is an apocalyptic number.

225041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225041440 is an abundant number, since it is smaller than the sum of its proper divisors (347521208).

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

225041440 is a wasteful number, since it uses less digits than its factorization.

225041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108221 (or 108213 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 225041440 is about 15001.3812697365. The cubic root of 225041440 is about 608.2575374801.

Adding to 225041440 its reverse (44140522), we get a palindrome (269181962).

The spelling of 225041440 in words is "two hundred twenty-five million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 108193 216386 432772 540965 865544 1081930 1406509 1731088 2163860 2813018 3462176 4327720 5626036 7032545 8655440 11252072 14065090 17310880 22504144 28130180 45008288 56260360 112520720 225041440