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228260564 = 22717312499
BaseRepresentation
bin11011001101011…
…11101011010100
3120220111211121222
431212233223110
5431413314224
634352225512
75441116460
oct1546575324
9526454558
10228260564
111079355a4
126453b298
13383a062c
142245b4a0
151508cb5e
hexd9afad4

228260564 has 72 divisors (see below), whose sum is σ = 500472000. Its totient is φ = 88922880.

The previous prime is 228260507. The next prime is 228260567. The reversal of 228260564 is 465062822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228260567) 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 23 ways as a sum of consecutive naturals, for example, 457187 + ... + 457685.

It is an arithmetic number, because the mean of its divisors is an integer number (6951000).

Almost surely, 2228260564 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 228260564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250236000).

228260564 is an abundant number, since it is smaller than the sum of its proper divisors (272211436).

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

228260564 is a wasteful number, since it uses less digits than its factorization.

228260564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 228260564 is about 15108.2945430647. The cubic root of 228260564 is about 611.1441073778.

The spelling of 228260564 in words is "two hundred twenty-eight million, two hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 499 527 868 961 998 1054 1922 1996 2108 3493 3689 3844 6727 6986 7378 8483 13454 13972 14756 15469 16337 16966 26908 30938 32674 33932 59381 61876 65348 108283 114359 118762 216566 228718 237524 262973 433132 457436 479539 525946 959078 1051892 1840811 1918156 3356773 3681622 6713546 7363244 8152163 13427092 16304326 32608652 57065141 114130282 228260564