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225705348 = 2232112324781
BaseRepresentation
bin11010111001111…
…11110110000100
3120201201000112100
431130333312010
5430240032343
634221352100
75410315041
oct1534776604
9521630470
10225705348
1110644a850
1263708630
13379b757b
1421d941c8
1514c359d3
hexd73fd84

225705348 has 72 divisors (see below), whose sum is σ = 649486656. Its totient is φ = 65419200.

The previous prime is 225705329. The next prime is 225705353. The reversal of 225705348 is 843507522.

It is a super-2 number, since 2×2257053482 = 101885808231602208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3283 + ... + 21498.

It is an arithmetic number, because the mean of its divisors is an integer number (9020648).

Almost surely, 2225705348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225705348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324743328).

225705348 is an abundant number, since it is smaller than the sum of its proper divisors (423781308).

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

225705348 is a wasteful number, since it uses less digits than its factorization.

225705348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24825 (or 24820 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 225705348 is about 15023.4932023148. The cubic root of 225705348 is about 608.8551023505.

The spelling of 225705348 in words is "two hundred twenty-five million, seven hundred five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 24781 49562 74343 99124 148686 223029 272591 297372 446058 545182 569963 817773 892116 1090364 1139926 1635546 1709889 2279852 2453319 3271092 3419778 4906638 5129667 6269593 6839556 9813276 10259334 12539186 18808779 20518668 25078372 37617558 56426337 75235116 112852674 225705348