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2224211540430 = 2351129509456611
BaseRepresentation
bin100000010111011101010…
…101101011100111001110
321212122002010102020002010
4200113131111223213032
5242420141123243210
64421442204242050
7316460015103345
oct40273525534716
97778063366063
102224211540430
1178831247a730
122bb097b40326
13131985947919
147991c314b5c
153cccbccb920
hex205dd56b9ce

2224211540430 has 128 divisors (see below), whose sum is σ = 6036045350400. Its totient is φ = 519585651200.

The previous prime is 2224211540413. The next prime is 2224211540437. The reversal of 2224211540430 is 340451124222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224211540437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4642825 + ... + 5099435.

It is an arithmetic number, because the mean of its divisors is an integer number (47156604300).

Almost surely, 22224211540430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224211540430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018022675200).

2224211540430 is an abundant number, since it is smaller than the sum of its proper divisors (3811833809970).

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

2224211540430 is a wasteful number, since it uses less digits than its factorization.

2224211540430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457170.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2224211540430 its reverse (340451124222), we get a palindrome (2564662664652).

The spelling of 2224211540430 in words is "two trillion, two hundred twenty-four billion, two hundred eleven million, five hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 509 638 870 957 1018 1527 1595 1914 2545 3054 3190 4785 5090 5599 7635 9570 11198 14761 15270 16797 27995 29522 33594 44283 55990 73805 83985 88566 147610 162371 167970 221415 324742 442830 456611 487113 811855 913222 974226 1369833 1623710 2283055 2435565 2739666 4566110 4871130 5022721 6849165 10045442 13241719 13698330 15068163 25113605 26483438 30136326 39725157 50227210 66208595 75340815 79450314 132417190 145658909 150681630 198625785 232414999 291317818 397251570 436976727 464829998 697244997 728294545 873953454 1162074995 1394489994 1456589090 2184883635 2324149990 2556564989 3486224985 4369767270 5113129978 6740034971 6972449970 7669694967 12782824945 13480069942 15339389934 20220104913 25565649890 33700174855 38348474835 40440209826 67400349710 74140384681 76696949670 101100524565 148280769362 202201049130 222421154043 370701923405 444842308086 741403846810 1112105770215 2224211540430