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2214201300 = 22352103131547
BaseRepresentation
bin1000001111111010…
…0000011111010100
312201022102002011120
42003332200133110
514013313420200
61003414003540
7105604254243
oct20376403724
95638362146
102214201300
11a3694a233
125196465b0
132939645ac
141700d695a
15ce5c49a0
hex83fa07d4

2214201300 has 144 divisors (see below), whose sum is σ = 6529915392. Its totient is φ = 579196800.

The previous prime is 2214201287. The next prime is 2214201331. The reversal of 2214201300 is 31024122.

2214201300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2214201300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4047627 + ... + 4048173.

Almost surely, 22214201300 is an apocalyptic number.

2214201300 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 2214201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264957696).

2214201300 is an abundant number, since it is smaller than the sum of its proper divisors (4315714092).

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

2214201300 is a wasteful number, since it uses less digits than its factorization.

2214201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2214201300 is about 47055.3004453271. The cubic root of 2214201300 is about 1303.3839451714.

Adding to 2214201300 its reverse (31024122), we get a palindrome (2245225422).

The spelling of 2214201300 in words is "two billion, two hundred fourteen million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 131 150 206 262 300 309 393 412 515 524 547 618 655 786 1030 1094 1236 1310 1545 1572 1641 1965 2060 2188 2575 2620 2735 3090 3275 3282 3930 5150 5470 6180 6550 6564 7725 7860 8205 9825 10300 10940 13100 13493 13675 15450 16410 19650 26986 27350 30900 32820 39300 40479 41025 53972 54700 56341 67465 71657 80958 82050 112682 134930 143314 161916 164100 169023 202395 214971 225364 269860 281705 286628 337325 338046 358285 404790 429942 563410 674650 676092 716570 809580 845115 859884 1011975 1074855 1126820 1349300 1408525 1433140 1690230 1791425 2023950 2149710 2817050 3380460 3582850 4047900 4225575 4299420 5374275 5634100 7165700 7380671 8451150 10748550 14761342 16902300 21497100 22142013 29522684 36903355 44284026 73806710 88568052 110710065 147613420 184516775 221420130 369033550 442840260 553550325 738067100 1107100650 2214201300