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2265794944 = 2775347713
BaseRepresentation
bin1000011100001101…
…0100100110000000
312211220111022100021
42013003110212000
514120020414234
61012455503224
7110101640110
oct20703244600
95756438307
102265794944
11a62a89306
12532987b14
132a155a18a
14176cc7040
15d3db69b4
hex870d4980

2265794944 has 64 divisors (see below), whose sum is σ = 5256174240. Its totient is φ = 952713216.

The previous prime is 2265794939. The next prime is 2265794953. The reversal of 2265794944 is 4494975622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2265794891 and 2265794900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23632 + ... + 71344.

Almost surely, 22265794944 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 2265794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628087120).

2265794944 is an abundant number, since it is smaller than the sum of its proper divisors (2990379296).

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

2265794944 is an equidigital number, since it uses as much as digits as its factorization.

2265794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47787 (or 47775 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The square root of 2265794944 is about 47600.3670574083. The cubic root of 2265794944 is about 1313.4298065017.

The spelling of 2265794944 in words is "two billion, two hundred sixty-five million, seven hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488 47713 95426 190852 333991 381704 667982 763408 1335964 1526816 2528789 2671928 3053632 5057578 5343856 6107264 10115156 10687712 17701523 20230312 21375424 35403046 40460624 42750848 70806092 80921248 141612184 161842496 283224368 323684992 566448736 1132897472 2265794944