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2213229184 = 27177313933
BaseRepresentation
bin1000001111101011…
…0011001010000000
312201020120200200021
42003322303022000
514013041313214
61003341103224
7105563065135
oct20372631200
95636520607
102213229184
11a36345931
12519257b14
132936b3c8a
1416dd2258c
15ce481924
hex83eb3280

2213229184 has 64 divisors (see below), whose sum is σ = 4732822440. Its totient is φ = 1027178496.

The previous prime is 2213229131. The next prime is 2213229217. The reversal of 2213229184 is 4819223122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2159646784 + 53582400 = 46472^2 + 7320^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 151882 + ... + 165814.

Almost surely, 22213229184 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 2213229184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366411220).

2213229184 is an abundant number, since it is smaller than the sum of its proper divisors (2519593256).

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

2213229184 is a wasteful number, since it uses less digits than its factorization.

2213229184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14025 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 2213229184 is about 47044.9698054957. The cubic root of 2213229184 is about 1303.1931727157.

The spelling of 2213229184 in words is "two billion, two hundred thirteen million, two hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 272 292 544 584 1088 1168 1241 2176 2336 2482 4672 4964 9344 9928 13933 19856 27866 39712 55732 79424 111464 158848 222928 236861 445856 473722 891712 947444 1017109 1783424 1894888 2034218 3789776 4068436 7579552 8136872 15159104 16273744 17290853 30318208 32547488 34581706 65094976 69163412 130189952 138326824 276653648 553307296 1106614592 2213229184