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3228509232 = 2433134671231
BaseRepresentation
bin1100000001101111…
…0010010000110000
322100000000021002000
43000123302100300
523102444243412
61252210054000
7143001606234
oct30033622060
98300007060
103228509232
111407455853
1276127a300
133c5b410c0
14228aca5c4
1513d6804dc
hexc06f2430

3228509232 has 160 divisors (see below), whose sum is σ = 10009359360. Its totient is φ = 990455040.

The previous prime is 3228509227. The next prime is 3228509233. The reversal of 3228509232 is 2329058223.

It is a super-2 number, since 2×32285092322 = 20846543722218459648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3228509233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2622057 + ... + 2623287.

It is an arithmetic number, because the mean of its divisors is an integer number (62558496).

Almost surely, 23228509232 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 3228509232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004679680).

3228509232 is an abundant number, since it is smaller than the sum of its proper divisors (6780850128).

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

3228509232 is a wasteful number, since it uses less digits than its factorization.

3228509232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3228509232 is about 56819.9721224852. The cubic root of 3228509232 is about 1477.9758718640.

It can be divided in two parts, 32285092 and 32, that added together give a square (32285124 = 56822).

The spelling of 3228509232 in words is "three billion, two hundred twenty-eight million, five hundred nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 467 468 624 702 934 936 1231 1401 1404 1868 1872 2462 2802 2808 3693 3736 4203 4924 5604 5616 6071 7386 7472 8406 9848 11079 11208 12142 12609 14772 16003 16812 18213 19696 22158 22416 24284 25218 29544 32006 33237 33624 36426 44316 48009 48568 50436 54639 59088 64012 66474 67248 72852 88632 96018 97136 100872 109278 128024 132948 144027 145704 163917 177264 192036 201744 218556 256048 265896 288054 291408 327834 384072 432081 437112 531792 574877 576108 655668 768144 864162 874224 1149754 1152216 1311336 1724631 1728324 2299508 2304432 2622672 3449262 3456648 4599016 5173893 6898524 6913296 7473401 9198032 10347786 13797048 14946802 15521679 20695572 22420203 27594096 29893604 31043358 41391144 44840406 59787208 62086716 67260609 82782288 89680812 119574416 124173432 134521218 179361624 201781827 248346864 269042436 358723248 403563654 538084872 807127308 1076169744 1614254616 3228509232