Search a number
-
+
22030241333120 = 275439132159357
BaseRepresentation
bin1010000001001010100001…
…01101010111111110000000
32220000001220101201020210122
411000211100231113332000
510341420413240124440
6114504315251515412
74432426626432626
oct500452055277600
986001811636718
1022030241333120
117023a779a6009
1225797372b8b68
13c3a59ac09a57
145623ab217516
152830ccc5d7b5
hex140950b57f80

22030241333120 has 128 divisors (see below), whose sum is σ = 52826863003200. Its totient is φ = 8785219829760.

The previous prime is 22030241332969. The next prime is 22030241333137. The reversal of 22030241333120 is 2133314203022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22030241333120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 371118482 + ... + 371177838.

Almost surely, 222030241333120 is an apocalyptic number.

22030241333120 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 22030241333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26413431501600).

22030241333120 is an abundant number, since it is smaller than the sum of its proper divisors (30796621670080).

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

22030241333120 is a wasteful number, since it uses less digits than its factorization.

22030241333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61136 (or 61124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 22030241333120 its reverse (2133314203022), we get a palindrome (24163555536142).

The spelling of 22030241333120 in words is "twenty-two trillion, thirty billion, two hundred forty-one million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 439 640 878 1321 1756 2195 2642 3512 4390 5284 6605 7024 8780 10568 13210 14048 17560 21136 26420 28096 35120 42272 52840 56192 59357 70240 84544 105680 118714 140480 169088 211360 237428 280960 296785 422720 474856 579919 593570 845440 949712 1159838 1187140 1899424 2319676 2374280 2899595 3798848 4639352 4748560 5799190 7597696 9278704 9497120 11598380 18557408 18994240 23196760 26057723 37114816 37988480 46393520 52115446 74229632 78410597 92787040 104230892 130288615 156821194 185574080 208461784 260577230 313642388 371148160 392052985 416923568 521154460 627284776 784105970 833847136 1042308920 1254569552 1568211940 1667694272 2084617840 2509139104 3136423880 3335388544 4169235680 5018278208 6272847760 8338471360 10036556416 12545695520 16676942720 25091391040 34422252083 50182782080 68844504166 137689008332 172111260415 275378016664 344222520830 550756033328 688445041660 1101512066656 1376890083320 2203024133312 2753780166640 4406048266624 5507560333280 11015120666560 22030241333120