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2213717856 = 253715832081
BaseRepresentation
bin1000001111110010…
…1010011101100000
312201021111112000020
42003330222131200
514013202432411
61003355353440
7105600201630
oct20374523540
95637445006
102213717856
11a36649a99
12519452880
1329382552c
1417000c6c0
15ce52b606
hex83f2a760

2213717856 has 96 divisors (see below), whose sum is σ = 6648542208. Its totient is φ = 631787520.

The previous prime is 2213717839. The next prime is 2213717897. The reversal of 2213717856 is 6587173122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1062736 + ... + 1064816.

It is an arithmetic number, because the mean of its divisors is an integer number (69255648).

Almost surely, 22213717856 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 2213717856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324271104).

2213717856 is an abundant number, since it is smaller than the sum of its proper divisors (4434824352).

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

2213717856 is a wasteful number, since it uses less digits than its factorization.

2213717856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3676 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 2213717856 is about 47050.1631878148. The cubic root of 2213717856 is about 1303.2890789078.

It can be divided in two parts, 22137 and 17856, that added together give a palindrome (39993).

The spelling of 2213717856 in words is "two billion, two hundred thirteen million, seven hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1583 2081 3166 4162 4749 6243 6332 8324 9498 11081 12486 12664 14567 16648 18996 22162 24972 25328 29134 33243 33296 37992 43701 44324 49944 50656 58268 66486 66592 75984 87402 88648 99888 116536 132972 151968 174804 177296 199776 233072 265944 349608 354592 466144 531888 699216 1063776 1398432 3294223 6588446 9882669 13176892 19765338 23059561 26353784 39530676 46119122 52707568 69178683 79061352 92238244 105415136 138357366 158122704 184476488 276714732 316245408 368952976 553429464 737905952 1106858928 2213717856