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2214343120 = 245112516299
BaseRepresentation
bin1000001111111100…
…0011000111010000
312201022200021201011
42003333003013100
514013332434440
61003421020304
7105605414563
oct20377030720
95638607634
102214343120
11a36a36840
125196b4694
132939b4002
141701324da
15ce6019ea
hex83fc31d0

2214343120 has 40 divisors (see below), whose sum is σ = 5616381600. Its totient is φ = 805215360.

The previous prime is 2214343081. The next prime is 2214343121. The reversal of 2214343120 is 213434122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2214343091 and 2214343100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214343121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257270 + ... + 1259029.

It is an arithmetic number, because the mean of its divisors is an integer number (140409540).

Almost surely, 22214343120 is an apocalyptic number.

2214343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214343120 is an abundant number, since it is smaller than the sum of its proper divisors (3402038480).

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

2214343120 is a wasteful number, since it uses less digits than its factorization.

2214343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516323 (or 2516317 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2214343120 is about 47056.8073715164. The cubic root of 2214343120 is about 1303.4117719043.

Adding to 2214343120 its reverse (213434122), we get a palindrome (2427777242).

The spelling of 2214343120 in words is "two billion, two hundred fourteen million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2516299 5032598 10065196 12581495 20130392 25162990 27679289 40260784 50325980 55358578 100651960 110717156 138396445 201303920 221434312 276792890 442868624 553585780 1107171560 2214343120