Search a number
-
+
22222718082225 = 345229440985829
BaseRepresentation
bin1010000110110001000010…
…01101111001110010110001
32220200110201102200012020000
411003120201031321302301
510403044111312112400
6115132550432340213
74452352446004563
oct503304115716261
986613642605200
1022222718082225
117098669015491
1225aaab33a4669
13c527936b9b7b
1456b82a093333
152880e59ab600
hex143621379cb1

22222718082225 has 120 divisors (see below), whose sum is σ = 42593764059000. Its totient is φ = 11440693877760.

The previous prime is 22222718082199. The next prime is 22222718082281. The reversal of 22222718082225 is 52228081722222.

22222718082225 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 271 + 80 + 82 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17454539246769 + 4768178835456 = 4177863^2 + 2183616^2 .

It is not a de Polignac number, because 22222718082225 - 25 = 22222718082193 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 258875611 + ... + 258961439.

It is an arithmetic number, because the mean of its divisors is an integer number (354948033825).

Almost surely, 222222718082225 is an apocalyptic number.

22222718082225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22222718082225 is a deficient number, since it is larger than the sum of its proper divisors (20371045976775).

22222718082225 is a wasteful number, since it uses less digits than its factorization.

22222718082225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90289 (or 90275 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 22222718082225 in words is "twenty-two trillion, two hundred twenty-two billion, seven hundred eighteen million, eighty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 1305 2025 2175 2349 3915 4409 6525 11745 13227 19575 22045 39681 58725 66135 85829 110225 119043 127861 198405 257487 330675 357129 383583 429145 595215 639305 772461 992025 1150749 1287435 1785645 1917915 2145725 2317383 2489041 2976075 3196525 3452247 3862305 5753745 6437175 6952149 7467123 8928225 9589575 10356741 11586915 12445205 17261235 19311525 22401369 28768725 34760745 37335615 51783705 57934575 62226025 67204107 86306175 112006845 173803725 186678075 201612321 258918525 336020535 378420061 560034225 1008061605 1135260183 1680102675 1892100305 3405780549 5040308025 5676300915 9460501525 10217341647 10974181769 17028902745 28381504575 30652024941 32922545307 51086708235 54870908845 85144513725 98767635921 153260124705 164612726535 255433541175 274354544225 296302907763 493838179605 766300623525 823063632675 888908723289 1481514538815 2469190898025 4444543616445 7407572694075 22222718082225