Search a number
-
+
22045304510145 = 3357179222158679
BaseRepresentation
bin1010000001100110100101…
…00010110101011011000001
32220001111210011201221002000
411000303102202311123001
510342142240423311040
6114515250104014213
74433502124350630
oct500632242653301
986044704657060
1022045304510145
11702a3a7748944
12258063ba61369
13c3bb2b875b57
14562dd99a5517
152836b03a2130
hex140cd28b56c1

22045304510145 has 128 divisors (see below), whose sum is σ = 45061733376000. Its totient is φ = 10016869743360.

The previous prime is 22045304510071. The next prime is 22045304510161. The reversal of 22045304510145 is 54101540354022.

22045304510145 is a `hidden beast` number, since 2 + 20 + 45 + 3 + 0 + 451 + 0 + 145 = 666.

It is not a de Polignac number, because 22045304510145 - 27 = 22045304510017 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 375663916 + ... + 375722594.

It is an arithmetic number, because the mean of its divisors is an integer number (352044792000).

Almost surely, 222045304510145 is an apocalyptic number.

It is an amenable number.

22045304510145 is an abundant number, since it is smaller than the sum of its proper divisors (23016428865855).

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

22045304510145 is a wasteful number, since it uses less digits than its factorization.

22045304510145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61100 (or 61094 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 22045304510145 its reverse (54101540354022), we get a palindrome (76146844864167).

The spelling of 22045304510145 in words is "twenty-two trillion, forty-five billion, three hundred four million, five hundred ten thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 179 189 315 537 895 945 1253 1611 2221 2685 3759 4833 6265 6663 8055 11105 11277 15547 18795 19989 24165 33315 33831 46641 56385 58679 59967 77735 99945 139923 169155 176037 233205 293395 299835 397559 410753 419769 528111 699615 880185 1192677 1232259 1584333 1987795 2053765 2098845 2640555 2782913 3578031 3696777 5963385 6161295 7921665 8348739 10503541 10734093 11090331 13914565 17890155 18483885 25046217 31510623 41743695 52517705 53670465 55451655 73524787 75138651 94531869 125231085 130326059 157553115 220574361 283595607 367623935 375693255 390978177 472659345 651630295 661723083 912282413 1102871805 1172934531 1417978035 1954890885 1985169249 2736847239 3308615415 3518803593 4561412065 5864672655 8210541717 9925846245 13684236195 17594017965 23328364561 24631625151 41052708585 69985093683 116641822805 123158125755 163298551927 209955281049 349925468415 489895655781 629865843147 816492759635 1049776405245 1469686967343 2449478278905 3149329215735 4409060902029 7348434836715 22045304510145