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228569460 = 223574711579
BaseRepresentation
bin11011001111110…
…11000101110100
3120221002112100120
431213323011310
5432003210320
634403011540
75443544160
oct1547730564
9527075316
10228569460
11108026689
1264669bb0
133847b102
14224dbca0
15150ee440
hexd9fb174

228569460 has 96 divisors (see below), whose sum is σ = 747048960. Its totient is φ = 51128448.

The previous prime is 228569459. The next prime is 228569477. The reversal of 228569460 is 64965822.

228569460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13951 + ... + 25529.

It is an arithmetic number, because the mean of its divisors is an integer number (7781760).

Almost surely, 2228569460 is an apocalyptic number.

228569460 is a gapful number since it is divisible by the number (20) 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 228569460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373524480).

228569460 is an abundant number, since it is smaller than the sum of its proper divisors (518479500).

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

228569460 is a wasteful number, since it uses less digits than its factorization.

228569460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11645 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 228569460 is about 15118.5138158484. The cubic root of 228569460 is about 611.4196621717.

The spelling of 228569460 in words is "two hundred twenty-eight million, five hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6580 9870 11579 19740 23158 34737 46316 57895 69474 81053 115790 138948 162106 173685 231580 243159 324212 347370 405265 486318 544213 694740 810530 972636 1088426 1215795 1621060 1632639 2176852 2431590 2721065 3265278 3809491 4863180 5442130 6530556 7618982 8163195 10884260 11428473 15237964 16326390 19047455 22856946 32652780 38094910 45713892 57142365 76189820 114284730 228569460