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20224013004 = 22321326015531
BaseRepresentation
bin10010110101011100…
…011111001011001100
31221012110001022022200
4102311130133023030
5312404321404004
613142450441500
71314112163016
oct226534371314
957173038280
1020224013004
118638a23338
123b04b93290
131ba3c1bb00
14d9bd591b6
157d576a239
hex4b571f2cc

20224013004 has 108 divisors (see below), whose sum is σ = 55458886392. Its totient is φ = 6211296000.

The previous prime is 20224012967. The next prime is 20224013063. The reversal of 20224013004 is 40031042202.

It is a super-2 number, since 2×202240130042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3653719 + ... + 3659249.

Almost surely, 220224013004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20224013004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27729443196).

20224013004 is an abundant number, since it is smaller than the sum of its proper divisors (35234873388).

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

20224013004 is a wasteful number, since it uses less digits than its factorization.

20224013004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20224013004 its reverse (40031042202), we get a palindrome (60255055206).

The spelling of 20224013004 in words is "twenty billion, two hundred twenty-four million, thirteen thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 601 676 1014 1202 1521 1803 2028 2404 3042 3606 5409 5531 6084 7212 7813 10818 11062 15626 16593 21636 22124 23439 31252 33186 46878 49779 66372 70317 71903 93756 99558 101569 140634 143806 199116 203138 215709 281268 287612 304707 406276 431418 609414 647127 862836 914121 934739 1218828 1294254 1828242 1869478 2588508 2804217 3324131 3656484 3738956 5608434 6648262 8412651 9972393 11216868 13296524 16825302 19944786 29917179 33650604 39889572 43213703 59834358 86427406 119668716 129641109 172854812 259282218 388923327 518564436 561778139 777846654 1123556278 1555693308 1685334417 2247112556 3370668834 5056003251 6741337668 10112006502 20224013004