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2260070912 = 291121912
BaseRepresentation
bin1000011010110101…
…1111001000000000
312211111201111110002
42012231133020000
514112034232122
61012133055132
7110002200011
oct20655371000
95744644402
102260070912
11a5a829800
12530a874a8
132a0304988
14176237008
15d3635992
hex86b5f200

2260070912 has 90 divisors (see below), whose sum is σ = 4989691707. Its totient is φ = 1021926400.

The previous prime is 2260070893. The next prime is 2260070941. The reversal of 2260070912 is 2190700622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2260070912 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 1130035456 + 1130035456 = 33616^2 + 33616^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33616.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11832737 + ... + 11832927.

Almost surely, 22260070912 is an apocalyptic number.

2260070912 is a gapful number since it is divisible by the number (22) 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 2260070912

2260070912 is an abundant number, since it is smaller than the sum of its proper divisors (2729620795).

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

2260070912 is an frugal number, since it uses more digits than its factorization.

2260070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2260070912 is about 47540.2031127340. The cubic root of 2260070912 is about 1312.3228434149.

The spelling of 2260070912 in words is "two billion, two hundred sixty million, seventy thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 191 242 256 352 382 484 512 704 764 968 1408 1528 1936 2101 2816 3056 3872 4202 5632 6112 7744 8404 12224 15488 16808 23111 24448 30976 33616 36481 46222 48896 61952 67232 72962 92444 97792 134464 145924 184888 268928 291848 369776 401291 537856 583696 739552 802582 1075712 1167392 1479104 1605164 2334784 2958208 3210328 4414201 4669568 5916416 6420656 8828402 9339136 11832832 12841312 17656804 18678272 25682624 35313608 51365248 70627216 102730496 141254432 205460992 282508864 565017728 1130035456 2260070912