Search a number
-
+
20227838940 = 2233571527591
BaseRepresentation
bin10010110101101011…
…000101001111011100
31221012201020200112000
4102311223011033130
5312411311321230
613143104442300
71314156536241
oct226553051734
957181220460
1020227838940
1186400a6871
123b06319390
131ba495b38a
14d9c6735c8
157d5c73b60
hex4b5ac53dc

20227838940 has 96 divisors (see below), whose sum is σ = 63817528320. Its totient is φ = 5318107200.

The previous prime is 20227838929. The next prime is 20227838941. The reversal of 20227838940 is 4983872202.

20227838940 is a `hidden beast` number, since 2 + 0 + 227 + 8 + 389 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20227838941) 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, 225456 + ... + 302135.

It is an arithmetic number, because the mean of its divisors is an integer number (664765920).

Almost surely, 220227838940 is an apocalyptic number.

20227838940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20227838940 is an abundant number, since it is smaller than the sum of its proper divisors (43589689380).

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

20227838940 is a wasteful number, since it uses less digits than its factorization.

20227838940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527680 (or 527672 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20227838940 in words is "twenty billion, two hundred twenty-seven million, eight hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 527591 1055182 1582773 2110364 2637955 3165546 4748319 5275910 6331092 7913865 9496638 10551820 14244957 15827730 18993276 23741595 28489914 31655460 37458961 47483190 56979828 71224785 74917922 94966380 112376883 142449570 149835844 187294805 224753766 284899140 337130649 374589610 449507532 561884415 674261298 749179220 1011391947 1123768830 1348522596 1685653245 2022783894 2247537660 3371306490 4045567788 5056959735 6742612980 10113919470 20227838940