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2214243320 = 235471378597
BaseRepresentation
bin1000001111111010…
…1010101111111000
312201022111012210212
42003332222233320
514013321241240
61003414530252
7105604520612
oct20376525770
95638435725
102214243320
11a36978863
12519666988
1329397a763
14170107db2
15ce5d2165
hex83faabf8

2214243320 has 64 divisors (see below), whose sum is σ = 5125783680. Its totient is φ = 860425216.

The previous prime is 2214243287. The next prime is 2214243359. The reversal of 2214243320 is 233424122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253262 + ... + 261858.

It is an arithmetic number, because the mean of its divisors is an integer number (80090370).

Almost surely, 22214243320 is an apocalyptic number.

2214243320 is a gapful number since it is divisible by the number (20) 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 2214243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562891840).

2214243320 is an abundant number, since it is smaller than the sum of its proper divisors (2911540360).

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

2214243320 is a wasteful number, since it uses less digits than its factorization.

2214243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2214243320 is about 47055.7469391359. The cubic root of 2214243320 is about 1303.3921901078.

Adding to 2214243320 its reverse (233424122), we get a palindrome (2447667442).

The spelling of 2214243320 in words is "two billion, two hundred fourteen million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 137 188 235 274 376 470 548 685 940 1096 1370 1880 2740 5480 6439 8597 12878 17194 25756 32195 34388 42985 51512 64390 68776 85970 128780 171940 257560 343880 404059 808118 1177789 1616236 2020295 2355578 3232472 4040590 4711156 5888945 8081180 9422312 11777890 16162360 23555780 47111560 55356083 110712166 221424332 276780415 442848664 553560830 1107121660 2214243320