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2330071056 = 243330717569
BaseRepresentation
bin1000101011100010…
…0001000000010000
320000101102212121000
42022320201000100
514232444233211
61023113302000
7111512164035
oct21270410020
96011385530
102330071056
11a9629a965
12550404900
132b1973591
1418165938c
15d9861656
hex8ae21010

2330071056 has 80 divisors (see below), whose sum is σ = 6710334400. Its totient is φ = 774116352.

The previous prime is 2330071043. The next prime is 2330071157. The reversal of 2330071056 is 6501700332.

It is a happy number.

It is a super-2 number, since 2×23300710562 = 10858462252017910272, which contains 22 as substring.

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

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, 123840 + ... + 141408.

It is an arithmetic number, because the mean of its divisors is an integer number (83879180).

Almost surely, 22330071056 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 2330071056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355167200).

2330071056 is an abundant number, since it is smaller than the sum of its proper divisors (4380263344).

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

2330071056 is a wasteful number, since it uses less digits than its factorization.

2330071056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893 (or 17881 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2330071056 is about 48270.8095643734. The cubic root of 2330071056 is about 1325.7339815654.

Adding to 2330071056 its reverse (6501700332), we get a palindrome (8831771388).

The spelling of 2330071056 in words is "two billion, three hundred thirty million, seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2763 3684 4912 5526 7368 8289 11052 14736 16578 17569 22104 33156 35138 44208 52707 66312 70276 105414 132624 140552 158121 210828 281104 316242 421656 474363 632484 843312 948726 1264968 1897452 2529936 3794904 5393683 7589808 10787366 16181049 21574732 32362098 43149464 48543147 64724196 86298928 97086294 129448392 145629441 194172588 258896784 291258882 388345176 582517764 776690352 1165035528 2330071056