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225908718 = 2373313541
BaseRepresentation
bin11010111011100…
…01011111101110
3120202002100111120
431131301133232
5430313034333
634230001410
75412123000
oct1535613756
9522070446
10225908718
11106579622
12637a6266
1337a58cc9
1422008370
1514c75db3
hexd7717ee

225908718 has 64 divisors (see below), whose sum is σ = 544051200. Its totient is φ = 62445600.

The previous prime is 225908701. The next prime is 225908719. The reversal of 225908718 is 817809522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225908718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225908719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62028 + ... + 65568.

It is an arithmetic number, because the mean of its divisors is an integer number (8500800).

Almost surely, 2225908718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225908718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272025600).

225908718 is an abundant number, since it is smaller than the sum of its proper divisors (318142482).

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

225908718 is a wasteful number, since it uses less digits than its factorization.

225908718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 225908718 is about 15030.2600775901. The cubic root of 225908718 is about 609.0379154621.

The spelling of 225908718 in words is "two hundred twenty-five million, nine hundred eight thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 343 434 651 686 1029 1302 1519 2058 3038 3541 4557 7082 9114 10623 10633 21246 21266 24787 31899 49574 63798 74361 109771 148722 173509 219542 329313 347018 520527 658626 768397 1041054 1214563 1536794 2305191 2429126 3643689 4610382 5378779 7287378 10757558 16136337 32272674 37651453 75302906 112954359 225908718