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2213412224 = 27374111399
BaseRepresentation
bin1000001111101101…
…1111110110000000
312201020220222202112
42003323133312000
514013113142344
61003345034452
7105564456602
oct20373376600
95636828675
102213412224
11a36460401
12519325a28
1329374939a
1416dd6d172
15ce4bac9e
hex83edfd80

2213412224 has 64 divisors (see below), whose sum is σ = 4639572000. Its totient is φ = 1050439680.

The previous prime is 2213412197. The next prime is 2213412301. The reversal of 2213412224 is 4222143122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2213412224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 188477 + ... + 199875.

Almost surely, 22213412224 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 2213412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319786000).

2213412224 is an abundant number, since it is smaller than the sum of its proper divisors (2426159776).

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

2213412224 is a wasteful number, since it uses less digits than its factorization.

2213412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11491 (or 11479 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 2213412224 is about 47046.9151379769. The cubic root of 2213412224 is about 1303.2290975843.

Adding to 2213412224 its reverse (4222143122), we get a palindrome (6435555346).

The spelling of 2213412224 in words is "two billion, two hundred thirteen million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 4736 5248 6068 11399 12136 22798 24272 45596 48544 91192 97088 182384 194176 364768 421763 467359 729536 843526 934718 1459072 1687052 1869436 3374104 3738872 6748208 7477744 13496416 14955488 17292283 26992832 29910976 34584566 53985664 59821952 69169132 138338264 276676528 553353056 1106706112 2213412224