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2224214240 = 255116311953
BaseRepresentation
bin1000010010010010…
…1101000011100000
312202000020210100012
42010210231003200
514023344323430
61004412344052
7106055336423
oct20444550340
95660223305
102224214240
11a41569096
12520a75028
13295a5c001
141715819ba
15d0401695
hex8492d0e0

2224214240 has 48 divisors (see below), whose sum is σ = 5259664368. Its totient is φ = 888846336.

The previous prime is 2224214221. The next prime is 2224214299. The reversal of 2224214240 is 424124222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180104 + ... + 192056.

It is an arithmetic number, because the mean of its divisors is an integer number (109576341).

Almost surely, 22224214240 is an apocalyptic number.

2224214240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224214240 is an abundant number, since it is smaller than the sum of its proper divisors (3035450128).

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

2224214240 is a wasteful number, since it uses less digits than its factorization.

2224214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2224214240 is about 47161.5758854600. The cubic root of 2224214240 is about 1305.3456882341.

Adding to 2224214240 its reverse (424124222), we get a palindrome (2648338462).

The spelling of 2224214240 in words is "two billion, two hundred twenty-four million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1163 2326 4652 5815 9304 11630 11953 18608 23260 23906 37216 46520 47812 59765 93040 95624 119530 186080 191248 239060 382496 478120 956240 1912480 13901339 27802678 55605356 69506695 111210712 139013390 222421424 278026780 444842848 556053560 1112107120 2224214240