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220113141522516 = 22351126309782497
BaseRepresentation
bin110010000011000100010101…
…100111000110000001010100
31001212100121111021211102100000
4302003010111213012001110
5212322313203212210031
62100050325315051300
764235435561403564
oct6203042547060124
91055317437742300
10220113141522516
11641535060628a0
122082b4998a0b30
1395a8770875378
143c4d76638ada4
151a6a9abc193e6
hexc831159c6054

220113141522516 has 144 divisors (see below), whose sum is σ = 629484084290880. Its totient is φ = 66698331448320.

The previous prime is 220113141522503. The next prime is 220113141522523. The reversal of 220113141522516 is 615225141311022.

220113141522516 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 1 + 3 + 1 + 415 + 225 + 16 = 666.

It is a super-2 number, since 2×2201131415225162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280904580 + ... + 281687076.

It is an arithmetic number, because the mean of its divisors is an integer number (4371417252020).

Almost surely, 2220113141522516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220113141522516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314742042145440).

220113141522516 is an abundant number, since it is smaller than the sum of its proper divisors (409370942768364).

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

220113141522516 is a wasteful number, since it uses less digits than its factorization.

220113141522516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808836 (or 808822 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 220113141522516 its reverse (615225141311022), we get a palindrome (835338282833538).

The spelling of 220113141522516 in words is "two hundred twenty trillion, one hundred thirteen billion, one hundred forty-one million, five hundred twenty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 26309 52618 78927 105236 157854 236781 289399 315708 473562 578798 710343 782497 868197 947124 1157596 1420686 1564994 1736394 2131029 2347491 2604591 2841372 3129988 3472788 4262058 4694982 5209182 6393087 7042473 7813773 8524116 8607467 9389964 10418364 12786174 14084946 15627546 17214934 21127419 23441319 25572348 25822401 28169892 31255092 34429868 42254838 46882638 51644802 63382257 70323957 77467203 84509676 93765276 103289604 126764514 140647914 154934406 190146771 232401609 253529028 281295828 309868812 380293542 464803218 697204827 760587084 929606436 1394409654 2091614481 2788819308 4183228962 8366457924 20586713573 41173427146 61760140719 82346854292 123520281438 185280422157 226453849303 247040562876 370560844314 452907698606 555841266471 679361547909 741121688628 905815397212 1111682532942 1358723095818 1667523799413 2038084643727 2223365065884 2717446191636 3335047598826 4076169287454 5002571398239 6114253931181 6670095197652 8152338574908 10005142796478 12228507862362 18342761793543 20010285592956 24457015724724 36685523587086 55028285380629 73371047174172 110056570761258 220113141522516