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2214503300 = 2252172834603
BaseRepresentation
bin1000001111111110…
…1010001110000100
312201022222102102202
42003333222032010
514013403101200
61003424254032
7105606652562
oct20377521604
95638872382
102214503300
11a37036119
12519771318
13293a3bba9
14170174a32
15ce6341d5
hex83fea384

2214503300 has 72 divisors (see below), whose sum is σ = 5107235616. Its totient is φ = 830568960.

The previous prime is 2214503299. The next prime is 2214503303. The reversal of 2214503300 is 33054122.

It is a happy number.

2214503300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2214503303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478799 + ... + 483401.

It is an arithmetic number, because the mean of its divisors is an integer number (70933828).

Almost surely, 22214503300 is an apocalyptic number.

2214503300 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 2214503300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553617808).

2214503300 is an abundant number, since it is smaller than the sum of its proper divisors (2892732316).

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

2214503300 is a wasteful number, since it uses less digits than its factorization.

2214503300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2214503300 is about 47058.5093261569. The cubic root of 2214503300 is about 1303.4431996540.

Adding to 2214503300 its reverse (33054122), we get a palindrome (2247557422).

The spelling of 2214503300 in words is "two billion, two hundred fourteen million, five hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 283 340 425 566 850 1132 1415 1700 2830 4603 4811 5660 7075 9206 9622 14150 18412 19244 23015 24055 28300 46030 48110 78251 92060 96220 115075 120275 156502 230150 240550 313004 391255 460300 481100 782510 1302649 1565020 1956275 2605298 3912550 5210596 6513245 7825100 13026490 22145033 26052980 32566225 44290066 65132450 88580132 110725165 130264900 221450330 442900660 553625825 1107251650 2214503300