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20225429784 = 2334727716097
BaseRepresentation
bin10010110101100001…
…111001000100011000
31221012112201021210000
4102311201321010120
5312410202223114
613142541053000
71314130213410
oct226541710430
957175637700
1020225429784
11863980082a
123b05557160
131ba42c6941
14d9c207640
157d5949e09
hex4b5879118

20225429784 has 160 divisors (see below), whose sum is σ = 64980542880. Its totient is φ = 5757474816.

The previous prime is 20225429779. The next prime is 20225429797. The reversal of 20225429784 is 48792452202.

20225429784 is a `hidden beast` number, since 2 + 0 + 22 + 542 + 9 + 7 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1248424 + ... + 1264520.

It is an arithmetic number, because the mean of its divisors is an integer number (406128393).

Almost surely, 220225429784 is an apocalyptic number.

20225429784 is a gapful number since it is divisible by the number (24) 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 20225429784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32490271440).

20225429784 is an abundant number, since it is smaller than the sum of its proper divisors (44755113096).

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

20225429784 is a wasteful number, since it uses less digits than its factorization.

20225429784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16399 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20225429784 in words is "twenty billion, two hundred twenty-five million, four hundred twenty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 277 324 378 504 554 567 648 756 831 1108 1134 1512 1662 1939 2216 2268 2493 3324 3878 4536 4986 5817 6648 7479 7756 9972 11634 14958 15512 16097 17451 19944 22437 23268 29916 32194 34902 44874 46536 48291 52353 59832 64388 69804 89748 96582 104706 112679 128776 139608 144873 157059 179496 193164 209412 225358 289746 314118 338037 386328 418824 434619 450716 579492 628236 676074 869238 901432 1014111 1158984 1256472 1303857 1352148 1738476 2028222 2607714 2704296 3042333 3476952 4056444 4458869 5215428 6084666 8112888 8917738 9126999 10430856 12169332 13376607 17835476 18253998 24338664 26753214 31212083 35670952 36507996 40129821 53506428 62424166 73015992 80259642 93636249 107012856 120389463 124848332 160519284 187272498 240778926 249696664 280908747 321038568 361168389 374544996 481557852 561817494 722336778 749089992 842726241 963115704 1123634988 1444673556 1685452482 2247269976 2528178723 2889347112 3370904964 5056357446 6741809928 10112714892 20225429784