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3085012224 = 2833763761
BaseRepresentation
bin1011011111100001…
…1000110100000000
321221222222212012000
42313320120310000
522304230342344
61230042304000
7136310112510
oct26770306400
97858885160
103085012224
111343455388
127211b8000
133a21ab128
14213a15840
15130c87a69
hexb7e18d00

3085012224 has 144 divisors (see below), whose sum is σ = 10426362240. Its totient is φ = 881418240.

The previous prime is 3085012211. The next prime is 3085012247. The reversal of 3085012224 is 4222105803.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16504 + ... + 80264.

Almost surely, 23085012224 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 3085012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213181120).

3085012224 is an abundant number, since it is smaller than the sum of its proper divisors (7341350016).

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

3085012224 is an equidigital number, since it uses as much as digits as its factorization.

3085012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63793 (or 63773 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3085012224 is about 55542.8863491987. The cubic root of 3085012224 is about 1455.7460813897.

The spelling of 3085012224 in words is "three billion, eighty-five million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 63761 127522 191283 255044 382566 446327 510088 573849 765132 892654 1020176 1147698 1338981 1530264 1721547 1785308 2040352 2295396 2677962 3060528 3443094 3570616 4016943 4080704 4590792 5355924 6121056 6886188 7141232 8033886 8161408 9181584 10711848 12050829 12242112 13772376 14282464 16067772 16322816 18363168 21423696 24101658 24484224 27544752 28564928 32135544 36726336 42847392 48203316 48968448 55089504 57129856 64271088 73452672 85694784 96406632 110179008 114259712 128542176 146905344 171389568 192813264 220358016 257084352 342779136 385626528 440716032 514168704 771253056 1028337408 1542506112 3085012224