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2213344104 = 2331725121613
BaseRepresentation
bin1000001111101100…
…1111001101101000
312201020210112022120
42003323033031220
514013104002404
61003343351240
7105564054156
oct20373171550
95636715276
102213344104
11a36414204
125192b2520
1329372438a
1416dd523d6
15ce4a59d9
hex83ecf368

2213344104 has 64 divisors (see below), whose sum is σ = 5882466240. Its totient is φ = 691584000.

The previous prime is 2213344057. The next prime is 2213344109. The reversal of 2213344104 is 4014433122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2213344109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91602 + ... + 113214.

It is an arithmetic number, because the mean of its divisors is an integer number (91913535).

Almost surely, 22213344104 is an apocalyptic number.

2213344104 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 2213344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941233120).

2213344104 is an abundant number, since it is smaller than the sum of its proper divisors (3669122136).

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

2213344104 is a wasteful number, since it uses less digits than its factorization.

2213344104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21890 (or 21886 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2213344104 is about 47046.1911742067. The cubic root of 2213344104 is about 1303.2157280492.

Adding to 2213344104 its reverse (4014433122), we get a palindrome (6227777226).

The spelling of 2213344104 in words is "two billion, two hundred thirteen million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 251 408 502 753 1004 1506 2008 3012 4267 6024 8534 12801 17068 21613 25602 34136 43226 51204 64839 86452 102408 129678 172904 259356 367421 518712 734842 1102263 1469684 2204526 2939368 4409052 5424863 8818104 10849726 16274589 21699452 32549178 43398904 65098356 92222671 130196712 184445342 276668013 368890684 553336026 737781368 1106672052 2213344104