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3228510780 = 22325111985819
BaseRepresentation
bin1100000001101111…
…0010101000111100
322100000000100012100
43000123302220330
523102444321110
61252210105100
7143001613605
oct30033625074
98300010170
103228510780
111407456a30
1276127b190
133c5b41a11
14228acadac
1513d680bc0
hexc06f2a3c

3228510780 has 144 divisors (see below), whose sum is σ = 11245852800. Its totient is φ = 741467520.

The previous prime is 3228510751. The next prime is 3228510809. The reversal of 3228510780 is 870158223.

It is an interprime number because it is at equal distance from previous prime (3228510751) and next prime (3228510809).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5290 + ... + 80529.

It is an arithmetic number, because the mean of its divisors is an integer number (78096200).

Almost surely, 23228510780 is an apocalyptic number.

3228510780 is a gapful number since it is divisible by the number (30) 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 3228510780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622926400).

3228510780 is an abundant number, since it is smaller than the sum of its proper divisors (8017342020).

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

3228510780 is a wasteful number, since it uses less digits than its factorization.

3228510780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85864 (or 85859 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3228510780 is about 56819.9857444544. The cubic root of 3228510780 is about 1477.9761080830.

The spelling of 3228510780 in words is "three billion, two hundred twenty-eight million, five hundred ten thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 85819 171638 257457 343276 429095 514914 772371 858190 944009 1029828 1287285 1544742 1630561 1716380 1888018 2574570 2832027 3089484 3261122 3776036 3861855 4720045 4891683 5149140 5664054 6522244 7723710 8152805 8496081 9440090 9783366 11328108 14160135 14675049 15447420 16305610 16992162 17936171 18880180 19566732 24458415 28320270 29350098 32611220 33984324 35872342 42480405 48916830 53808513 56640540 58700196 71744684 73375245 84960810 89680855 97833660 107617026 146750490 161425539 169921620 179361710 215234052 269042565 293500980 322851078 358723420 538085130 645702156 807127695 1076170260 1614255390 3228510780