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20224314330 = 23511374613593
BaseRepresentation
bin10010110101011101…
…101000101111011010
31221012110121121122220
4102311131220233122
5312404411024310
613142501124510
71314114556353
oct226535505732
957173547586
1020224314330
118639109770
123b050b9736
131ba3cc5ccc
14d9bdd6d2a
157d57c9670
hex4b5768bda

20224314330 has 128 divisors (see below), whose sum is σ = 54515172096. Its totient is φ = 4758681600.

The previous prime is 20224314311. The next prime is 20224314359. The reversal of 20224314330 is 3341342202.

It is a self number, because there is not a number n which added to its sum of digits gives 20224314330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5627014 + ... + 5630606.

It is an arithmetic number, because the mean of its divisors is an integer number (425899782).

Almost surely, 220224314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20224314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27257586048).

20224314330 is an abundant number, since it is smaller than the sum of its proper divisors (34290857766).

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

20224314330 is a wasteful number, since it uses less digits than its factorization.

20224314330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20224314330 its reverse (3341342202), we get a palindrome (23565656532).

The spelling of 20224314330 in words is "twenty billion, two hundred twenty-four million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 461 555 814 922 1110 1221 1383 2035 2305 2442 2766 3593 4070 4610 5071 6105 6915 7186 10142 10779 12210 13830 15213 17057 17965 21558 25355 30426 34114 35930 39523 50710 51171 53895 76065 79046 85285 102342 107790 118569 132941 152130 170570 187627 197615 237138 255855 265882 375254 395230 398823 511710 562881 592845 664705 797646 938135 1125762 1185690 1329410 1462351 1656373 1876270 1994115 2814405 2924702 3312746 3988230 4387053 4969119 5628810 7311755 8281865 8774106 9938238 14623510 16563730 18220103 21935265 24845595 36440206 43870530 49691190 54660309 61285801 91100515 109320618 122571602 182201030 183857403 273301545 306429005 367714806 546603090 612858010 674143811 919287015 1348287622 1838574030 2022431433 3370719055 4044862866 6741438110 10112157165 20224314330