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220201210120194 = 23412751672071393
BaseRepresentation
bin110010000100010110010110…
…111010001000100000000010
31001212200000210221102201120000
4302010112112322020200002
5212330234034242321234
62100155012302500430
764245004156211562
oct6204262672104002
91055600727381500
10220201210120194
116418789952a816
1220844577894716
1395b3b674ba724
143c53b1c968da2
151a6ce13733899
hexc84596e88802

220201210120194 has 80 divisors (see below), whose sum is σ = 497395456217088. Its totient is φ = 72808318533888.

The previous prime is 220201210120121. The next prime is 220201210120207. The reversal of 220201210120194 is 491021012102022.

220201210120194 is a `hidden beast` number, since 220 + 20 + 1 + 210 + 1 + 20 + 194 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105270162 + ... + 107341554.

Almost surely, 2220201210120194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220201210120194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248697728108544).

220201210120194 is an abundant number, since it is smaller than the sum of its proper divisors (277194246096894).

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

220201210120194 is a wasteful number, since it uses less digits than its factorization.

220201210120194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076701 (or 2076692 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 220201210120194 in words is "two hundred twenty trillion, two hundred one billion, two hundred ten million, one hundred twenty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 1143 2286 3429 5167 6858 10287 10334 15501 20574 31002 46503 93006 139509 279018 418527 656209 837054 1312418 1968627 2071393 3937254 4142786 5905881 6214179 11811762 12428358 17717643 18642537 35435286 37285074 53152929 55927611 106305858 111855222 167782833 263066911 335565666 526133822 789200733 1578401466 2367602199 4735204398 7102806597 10702887631 14205613194 21308419791 21405775262 32108662893 42616839582 64217325786 96325988679 192651977358 288977966037 577955932074 866933898111 1359266729137 1733867796222 2718533458274 4077800187411 8155600374822 12233400562233 24466801124466 36700201686699 73400403373398 110100605060097 220201210120194