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2213313020 = 225596197317
BaseRepresentation
bin1000001111101100…
…0111100111111100
312201020201221200022
42003323013213330
514013102004040
61003342551312
7105563564432
oct20373074774
95636657608
102213313020
11a363a2916
12519298538
13293713199
1416dd44d52
15ce49b6b5
hex83ec79fc

2213313020 has 96 divisors (see below), whose sum is σ = 4869063360. Its totient is φ = 844554240.

The previous prime is 2213313017. The next prime is 2213313029. The reversal of 2213313020 is 203133122.

It is a super-3 number, since 3×22133130203 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2213313020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213313029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6981902 + ... + 6982218.

It is an arithmetic number, because the mean of its divisors is an integer number (50719410).

Almost surely, 22213313020 is an apocalyptic number.

2213313020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213313020 is an abundant number, since it is smaller than the sum of its proper divisors (2655750340).

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

2213313020 is a wasteful number, since it uses less digits than its factorization.

2213313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2213313020 is about 47045.8608168668. The cubic root of 2213313020 is about 1303.2096272736.

Adding to 2213313020 its reverse (203133122), we get a palindrome (2416446142).

It can be divided in two parts, 22133 and 13020, that added together give a palindrome (35153).

The spelling of 2213313020 in words is "two billion, two hundred thirteen million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 59 61 97 118 122 194 236 244 295 305 317 388 485 590 610 634 970 1180 1220 1268 1585 1940 3170 3599 5723 5917 6340 7198 11446 11834 14396 17995 18703 19337 22892 23668 28615 29585 30749 35990 37406 38674 57230 59170 61498 71980 74812 77348 93515 96685 114460 118340 122996 153745 187030 193370 307490 349103 374060 386740 614980 698206 1140883 1396412 1745515 1814191 1875689 2281766 3491030 3628382 3751378 4563532 5704415 6982060 7256764 7502756 9070955 9378445 11408830 18141910 18756890 22817660 36283820 37513780 110665651 221331302 442662604 553328255 1106656510 2213313020