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16226028 = 22337132127
BaseRepresentation
bin111101111001…
…011011101100
31010112100221000
4331321123230
513123213103
61335440300
7254630130
oct75713354
933470830
1016226028
119182945
125526090
133491700
1422253c0
151657aa3
hexf796ec

16226028 has 144 divisors (see below), whose sum is σ = 52469760. Its totient is φ = 4245696.

The previous prime is 16226027. The next prime is 16226039. The reversal of 16226028 is 82062261.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16225992 and 16226010.

It is not an unprimeable number, because it can be changed into a prime (16226027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127701 + ... + 127827.

Almost surely, 216226028 is an apocalyptic number.

16226028 is a gapful number since it is divisible by the number (18) 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 16226028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234880).

16226028 is an abundant number, since it is smaller than the sum of its proper divisors (36243732).

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

16226028 is a wasteful number, since it uses less digits than its factorization.

16226028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16226028 is about 4028.1544161067. The cubic root of 16226028 is about 253.1652385962.

Adding to 16226028 its reverse (82062261), we get a palindrome (98288289).

The spelling of 16226028 in words is "sixteen million, two hundred twenty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 127 156 169 182 189 234 252 254 273 338 351 364 378 381 468 507 508 546 676 702 756 762 819 889 1014 1092 1143 1183 1404 1521 1524 1638 1651 1778 2028 2286 2366 2457 2667 3042 3276 3302 3429 3549 3556 4563 4572 4732 4914 4953 5334 6084 6604 6858 7098 8001 9126 9828 9906 10647 10668 11557 13716 14196 14859 16002 18252 19812 21294 21463 23114 24003 29718 31941 32004 34671 42588 42926 44577 46228 48006 59436 63882 64389 69342 85852 89154 96012 104013 127764 128778 138684 150241 178308 193167 208026 257556 300482 312039 386334 416052 450723 579501 600964 624078 772668 901446 1159002 1248156 1352169 1802892 2318004 2704338 4056507 5408676 8113014 16226028