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220013111340225 = 325272332069189389
BaseRepresentation
bin110010000001100111001011…
…010110001110110011000001
31001212000001022000101122202200
4302001213023112032303001
5212314143323000341400
62055532343353103413
764225265000030220
oct6201471326166301
91055001260348680
10220013111340225
1164115044692355
12208140219b7b69
13959c1bba289a8
143c48997310cb7
151a680a501bb00
hexc819cb58ecc1

220013111340225 has 144 divisors (see below), whose sum is σ = 469961497324800. Its totient is φ = 96200983042560.

The previous prime is 220013111340149. The next prime is 220013111340343. The reversal of 220013111340225 is 522043111310022.

It is a happy number.

220013111340225 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 1 + 311 + 1 + 340 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 220013111340225 - 27 = 220013111340097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1161604831 + ... + 1161794219.

It is an arithmetic number, because the mean of its divisors is an integer number (3263621509200).

Almost surely, 2220013111340225 is an apocalyptic number.

220013111340225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220013111340225 is an abundant number, since it is smaller than the sum of its proper divisors (249948385984575).

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

220013111340225 is a wasteful number, since it uses less digits than its factorization.

220013111340225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221504 (or 221496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 220013111340225 its reverse (522043111310022), we get a palindrome (742056222650247).

The spelling of 220013111340225 in words is "two hundred twenty trillion, thirteen billion, one hundred eleven million, three hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 161 175 207 225 315 345 483 525 575 805 1035 1449 1575 1725 2415 4025 5175 7245 12075 32069 36225 96207 160345 189389 224483 288621 481035 568167 673449 737587 801725 946945 1122415 1325723 1443105 1704501 2020347 2212761 2405175 2840835 3367245 3687935 3977169 4355947 4734725 5163109 5612075 6628615 6638283 7215525 8522505 10101735 11063805 11931507 13067841 14204175 15489327 16836225 18439675 19885845 21779735 25815545 30491629 33143075 33191415 39203523 42612525 46467981 50508675 55319025 59657535 65339205 77446635 91474887 99429225 108898675 129077725 152458145 165957075 196017615 232339905 274424661 298287675 326696025 387233175 457374435 762290725 980088075 1161699525 1372123305 2286872175 6073515841 6860616525 18220547523 30367579205 42514610887 54661642569 91102737615 127543832661 139690864343 151837896025 212573054435 273308212845 382631497983 419072593029 455513688075 637719163305 698454321715 977836050401 1062865272175 1257217779087 1366541064225 1913157489915 2095362965145 2933508151203 3188595816525 3492271608575 4889180252005 6286088895435 8800524453609 9565787449575 10476814825725 14667540756015 24445901260025 31430444477175 44002622268045 73337703780075 220013111340225