Search a number
-
+
20022000022440 = 23325134278205133
BaseRepresentation
bin1001000110101101111000…
…01100101111001110101000
32121220002021121101102220200
410203112330030233032220
510111020024001204230
6110325551350552200
74134353553102663
oct443267414571650
977802247342820
1020022000022440
11641a312049569
1222b4493368660
13b230b3142cb0
144d30da0066da
1524ac414bb160
hex1235bc32f3a8

20022000022440 has 96 divisors (see below), whose sum is σ = 70077000094920. Its totient is φ = 4928492312064.

The previous prime is 20022000022393. The next prime is 20022000022441. The reversal of 20022000022440 is 4422000022002.

20022000022440 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 200 + 0 + 0 + 22 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12172241787876 + 7849758234564 = 3488874^2 + 2801742^2 .

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 (20022000022441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2139097887 + ... + 2139107246.

Almost surely, 220022000022440 is an apocalyptic number.

20022000022440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022000022440 is an abundant number, since it is smaller than the sum of its proper divisors (50055000072480).

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

20022000022440 is a wasteful number, since it uses less digits than its factorization.

20022000022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278205163 (or 4278205156 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20022000022440 its reverse (4422000022002), we get a palindrome (24444000044442).

The spelling of 20022000022440 in words is "twenty trillion, twenty-two billion, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4278205133 8556410266 12834615399 17112820532 21391025665 25669230798 34225641064 38503846197 42782051330 51338461596 55616666729 64173076995 77007692394 85564102660 102676923192 111233333458 128346153990 154015384788 166850000187 171128205320 192519230985 222466666916 256692307980 278083333645 308030769576 333700000374 385038461970 444933333832 500550000561 513384615960 556166667290 667400000748 770076923940 834250000935 1001100001122 1112333334580 1334800001496 1540153847880 1668500001870 2002200002244 2224666669160 2502750002805 3337000003740 4004400004488 5005500005610 6674000007480 10011000011220 20022000022440