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225105330 = 23517571773
BaseRepresentation
bin11010110101011…
…01010110110010
3120200120112110110
431122231112302
5430111332310
634200442150
75402235522
oct1532552662
9520515413
10225105330
1110607aa6a
1263479356
1337837428
1421c79682
1514b67d20
hexd6ad5b2

225105330 has 64 divisors (see below), whose sum is σ = 573775488. Its totient is φ = 56325120.

The previous prime is 225105323. The next prime is 225105359. The reversal of 225105330 is 33501522.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225105297 and 225105306.

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, 290824 + ... + 291596.

It is an arithmetic number, because the mean of its divisors is an integer number (8965242).

Almost surely, 2225105330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225105330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286887744).

225105330 is an abundant number, since it is smaller than the sum of its proper divisors (348670158).

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

225105330 is a wasteful number, since it uses less digits than its factorization.

225105330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 225105330 is about 15003.5105891921. The cubic root of 225105330 is about 608.3150941342.

Adding to 225105330 its reverse (33501522), we get a palindrome (258606852).

The spelling of 225105330 in words is "two hundred twenty-five million, one hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 571 773 1142 1546 1713 2319 2855 3426 3865 4638 5710 7730 8565 9707 11595 13141 17130 19414 23190 26282 29121 39423 48535 58242 65705 78846 97070 131410 145605 197115 291210 394230 441383 882766 1324149 2206915 2648298 4413830 6620745 7503511 13241490 15007022 22510533 37517555 45021066 75035110 112552665 225105330