Search a number
-
+
20220124140 = 223251929203873
BaseRepresentation
bin10010110101001101…
…101001101111101100
31221012011201201210200
4102311031221233230
5312402322433030
613142231233500
71314034135146
oct226515515754
957164651720
1020220124140
1186368075a7
123b03818890
131ba31899c8
14d9b625c96
157d524cd60
hex4b5369bec

20220124140 has 144 divisors (see below), whose sum is σ = 66789122400. Its totient is φ = 4932071424.

The previous prime is 20220124123. The next prime is 20220124147. The reversal of 20220124140 is 4142102202.

20220124140 is a `hidden beast` number, since 20 + 220 + 12 + 414 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20220124147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2757 + ... + 201116.

It is an arithmetic number, because the mean of its divisors is an integer number (463813350).

Almost surely, 220220124140 is an apocalyptic number.

20220124140 is a gapful number since it is divisible by the number (20) 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 20220124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33394561200).

20220124140 is an abundant number, since it is smaller than the sum of its proper divisors (46568998260).

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

20220124140 is a wasteful number, since it uses less digits than its factorization.

20220124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203936 (or 203931 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220124140 its reverse (4142102202), we get a palindrome (24362226342).

The spelling of 20220124140 in words is "twenty billion, two hundred twenty million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4959 5220 5510 6612 8265 9918 11020 16530 19836 24795 33060 49590 99180 203873 407746 611619 815492 1019365 1223238 1834857 2038730 2446476 3058095 3669714 3873587 4077460 5912317 6116190 7339428 7747174 9174285 11620761 11824634 12232380 15494348 17736951 18348570 19367935 23241522 23649268 29561585 34862283 35473902 36697140 38735870 46483044 53210853 58103805 59123170 69724566 70947804 77471740 88684755 106421706 112334023 116207610 118246340 139449132 174311415 177369510 212843412 224668046 232415220 266054265 337002069 348622830 354739020 449336092 532108530 561670115 674004138 697245660 1011006207 1064217060 1123340230 1348008276 1685010345 2022012414 2246680460 3370020690 4044024828 5055031035 6740041380 10110062070 20220124140