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228085572 = 2231113235779
BaseRepresentation
bin11011001100001…
…00111101000100
3120220011221120210
431212010331010
5431342214242
634344355420
75436460341
oct1546047504
9526157523
10228085572
11107826080
1264475b70
133833baa0
14224137c8
1515055d9c
hexd984f44

228085572 has 96 divisors (see below), whose sum is σ = 652538880. Its totient is φ = 61015680.

The previous prime is 228085547. The next prime is 228085589. The reversal of 228085572 is 275580822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 228085572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36579 + ... + 42357.

It is an arithmetic number, because the mean of its divisors is an integer number (6797280).

Almost surely, 2228085572 is an apocalyptic number.

228085572 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228085572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326269440).

228085572 is an abundant number, since it is smaller than the sum of its proper divisors (424453308).

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

228085572 is a wasteful number, since it uses less digits than its factorization.

228085572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 228085572 is about 15102.5021767918. The cubic root of 228085572 is about 610.9878931102.

The spelling of 228085572 in words is "two hundred twenty-eight million, eighty-five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 5779 6578 9867 11558 13156 17337 19734 23116 34674 39468 63569 69348 75127 127138 132917 150254 190707 225381 254276 265834 300508 381414 398751 450762 531668 762828 797502 826397 901524 1462087 1595004 1652794 1727921 2479191 2924174 3305588 3455842 4386261 4958382 5183763 5848348 6911684 8772522 9916764 10367526 17545044 19007131 20735052 38014262 57021393 76028524 114042786 228085572