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22202211000112 = 241113231273322069
BaseRepresentation
bin1010000110001010110101…
…11001100101111100110000
32220121111210020222111002021
411003011122321211330300
510402230112004000422
6115115315510401224
74451025325456303
oct503053271457460
986544706874067
1022202211000112
11708a9a5332140
1225a6b2b660214
13c50875c4a760
1456a8426d0b3a
152877e5478dc7
hex14315ae65f30

22202211000112 has 160 divisors (see below), whose sum is σ = 53149718200320. Its totient is φ = 8840421596160.

The previous prime is 22202211000077. The next prime is 22202211000161. The reversal of 22202211000112 is 21100011220222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5022214 + ... + 8344282.

It is an arithmetic number, because the mean of its divisors is an integer number (332185738752).

Almost surely, 222202211000112 is an apocalyptic number.

22202211000112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202211000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26574859100160).

22202211000112 is an abundant number, since it is smaller than the sum of its proper divisors (30947507200208).

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

22202211000112 is a wasteful number, since it uses less digits than its factorization.

22202211000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322251 (or 3322245 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22202211000112 its reverse (21100011220222), we get a palindrome (43302222220334).

The spelling of 22202211000112 in words is "twenty-two trillion, two hundred two billion, two hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 127 143 176 184 208 253 254 286 299 368 506 508 572 598 1012 1016 1144 1196 1397 1651 2024 2032 2288 2392 2794 2921 3289 3302 4048 4784 5588 5842 6578 6604 11176 11684 13156 13208 18161 22352 23368 26312 26416 32131 36322 37973 46736 52624 64262 72644 75946 128524 145288 151892 257048 290576 303784 417703 514096 607568 835406 1670812 3322069 3341624 6644138 6683248 13288276 26576552 36542759 43186897 53153104 73085518 76407587 86373794 146171036 152815174 172747588 292342072 305630348 345495176 421902763 475055867 584684144 611260696 690990352 840483457 843805526 950111734 993298631 1222521392 1680966914 1687611052 1900223468 1986597262 3361933828 3375222104 3800446936 3973194524 4640930393 5484735919 6723867656 6750444208 7600893872 7946389048 9281860786 9703763549 10926284941 10969471838 13447735312 15892778096 18563721572 19407527098 21852569882 21938943676 37127443144 38815054196 43705139764 43877887352 60332095109 74254886288 77630108392 87410279528 87755774704 106741399039 120664190218 126148926137 155260216784 174820559056 213482798078 241328380436 252297852274 426965596156 482656760872 504595704548 853931192312 965313521744 1009191409096 1387638187507 1707862384624 2018382818192 2775276375014 5550552750028 11101105500056 22202211000112