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225006760 = 23511246489
BaseRepresentation
bin11010110100101…
…01010010101000
3120200101112020201
431122111102220
5430100204020
634154401544
75401345246
oct1532252250
9520345221
10225006760
11106012a00
12634302b4
13378015c4
1421c51796
1514b48a0a
hexd6954a8

225006760 has 48 divisors (see below), whose sum is σ = 556485300. Its totient is φ = 81818880.

The previous prime is 225006751. The next prime is 225006763. The reversal of 225006760 is 67600522.

It can be written as a sum of positive squares in 2 ways, for example, as 221831236 + 3175524 = 14894^2 + 1782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225006763) 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, 18405 + ... + 28084.

Almost surely, 2225006760 is an apocalyptic number.

225006760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225006760 is an abundant number, since it is smaller than the sum of its proper divisors (331478540).

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

225006760 is a wasteful number, since it uses less digits than its factorization.

225006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46522 (or 46507 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 225006760 is about 15000.2253316409. The cubic root of 225006760 is about 608.2262907090.

The spelling of 225006760 in words is "two hundred twenty-five million, six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 46489 92978 185956 232445 371912 464890 511379 929780 1022758 1859560 2045516 2556895 4091032 5113790 5625169 10227580 11250338 20455160 22500676 28125845 45001352 56251690 112503380 225006760