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225007578 = 23329532711
BaseRepresentation
bin11010110100101…
…01011111011010
3120200101120101000
431122111133122
5430100220303
634154405430
75401350525
oct1532253732
9520346330
10225007578
11106013584
1263430876
1337801aa3
1421c51bbc
1514b48da3
hexd6957da

225007578 has 64 divisors (see below), whose sum is σ = 527212800. Its totient is φ = 71023680.

The previous prime is 225007577. The next prime is 225007603. The reversal of 225007578 is 875700522.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225007571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81643 + ... + 84353.

It is an arithmetic number, because the mean of its divisors is an integer number (8237700).

Almost surely, 2225007578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225007578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263606400).

225007578 is an abundant number, since it is smaller than the sum of its proper divisors (302205222).

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

225007578 is a wasteful number, since it uses less digits than its factorization.

225007578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 225007578 is about 15000.2525978731. The cubic root of 225007578 is about 608.2270277661.

The spelling of 225007578 in words is "two hundred twenty-five million, seven thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 87 106 159 174 261 318 477 522 783 954 1431 1537 1566 2711 2862 3074 4611 5422 8133 9222 13833 16266 24399 27666 41499 48798 73197 78619 82998 143683 146394 157238 235857 287366 431049 471714 707571 862098 1293147 1415142 2122713 2586294 3879441 4166807 4245426 7758882 8333614 12500421 25000842 37501263 75002526 112503789 225007578