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2213343744 = 29319149509
BaseRepresentation
bin1000001111101100…
…1111001000000000
312201020210111211020
42003323033020000
514013103444434
61003343345440
7105564053133
oct20373171000
95636714736
102213343744
11a36413a07
125192b2280
13293724171
1416dd5221a
15ce4a5849
hex83ecf200

2213343744 has 160 divisors (see below), whose sum is σ = 6260760000. Its totient is φ = 692895744.

The previous prime is 2213343733. The next prime is 2213343749. The reversal of 2213343744 is 4473433122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2213343749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4348162 + ... + 4348670.

It is an arithmetic number, because the mean of its divisors is an integer number (39129750).

Almost surely, 22213343744 is an apocalyptic number.

2213343744 is a gapful number since it is divisible by the number (24) 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 2213343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130380000).

2213343744 is an abundant number, since it is smaller than the sum of its proper divisors (4047416256).

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

2213343744 is a wasteful number, since it uses less digits than its factorization.

2213343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 682 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 2213343744 is about 47046.1873481794. The cubic root of 2213343744 is about 1303.2156573933.

Adding to 2213343744 its reverse (4473433122), we get a palindrome (6686776866).

The spelling of 2213343744 in words is "two billion, two hundred thirteen million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 149 152 192 228 256 298 304 384 447 456 509 512 596 608 768 894 912 1018 1192 1216 1527 1536 1788 1824 2036 2384 2432 2831 3054 3576 3648 4072 4768 4864 5662 6108 7152 7296 8144 8493 9536 9671 9728 11324 12216 14304 14592 16288 16986 19072 19342 22648 24432 28608 29013 29184 32576 33972 38144 38684 45296 48864 57216 58026 65152 67944 75841 76288 77368 90592 97728 114432 116052 130304 135888 151682 154736 181184 195456 227523 228864 232104 260608 271776 303364 309472 362368 390912 455046 464208 543552 606728 618944 724736 781824 910092 928416 1087104 1213456 1237888 1440979 1449472 1820184 1856832 2174208 2426912 2475776 2881958 3640368 3713664 4322937 4348416 4853824 4951552 5763916 7280736 7427328 8645874 9707648 11527832 14561472 14854656 17291748 19415296 23055664 29122944 34583496 38830592 46111328 58245888 69166992 92222656 116491776 138333984 184445312 276667968 368890624 553335936 737781248 1106671872 2213343744