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3229315056 = 2432113835323
BaseRepresentation
bin1100000001111011…
…0110111111110000
322100001112012110100
43000132312333300
523103201040211
61252235232400
7143011503462
oct30036667760
98301465410
103229315056
111407956220
127615a8700
133c6063b16
14228c5a132
1513d78e156
hexc07b6ff0

3229315056 has 120 divisors (see below), whose sum is σ = 9886795776. Its totient is φ = 975841920.

The previous prime is 3229314997. The next prime is 3229315073. The reversal of 3229315056 is 6505139223.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3229315056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604011 + ... + 609333.

Almost surely, 23229315056 is an apocalyptic number.

3229315056 is a gapful number since it is divisible by the number (36) 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 3229315056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943397888).

3229315056 is an abundant number, since it is smaller than the sum of its proper divisors (6657480720).

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

3229315056 is a wasteful number, since it uses less digits than its factorization.

3229315056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3229315056 is about 56827.0627078331. The cubic root of 3229315056 is about 1478.0988274108.

The spelling of 3229315056 in words is "three billion, two hundred twenty-nine million, three hundred fifteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 383 396 528 766 792 1149 1532 1584 2298 3064 3447 4213 4596 5323 6128 6894 8426 9192 10646 12639 13788 15969 16852 18384 21292 25278 27576 31938 33704 37917 42584 47907 50556 55152 58553 63876 67408 75834 85168 95814 101112 117106 127752 151668 175659 191628 202224 234212 255504 303336 351318 383256 468424 526977 606672 702636 766512 936848 1053954 1405272 2038709 2107908 2810544 4077418 4215816 6116127 8154836 8431632 12232254 16309672 18348381 22425799 24464508 32619344 36696762 44851598 48929016 67277397 73393524 89703196 97858032 134554794 146787048 179406392 201832191 269109588 293574096 358812784 403664382 538219176 807328764 1076438352 1614657528 3229315056