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222201000212022 = 232137115307873739
BaseRepresentation
bin110010100001011100110011…
…101011111011011000110110
31002010202012121202022010122100
4302201130303223323120312
5213111020122023241042
62104325421424442530
764542330632424516
oct6241346353733066
91063665552263570
10222201000212022
1164888a07940477
1220b08061479446
1396ca606408980
143cc282b5b7846
151aa4e5809b24c
hexca1733afb636

222201000212022 has 96 divisors (see below), whose sum is σ = 525806330999040. Its totient is φ = 67402106493120.

The previous prime is 222201000211991. The next prime is 222201000212153. The reversal of 222201000212022 is 220212000102222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222201000211986 and 222201000212004.

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, 253873629 + ... + 254747367.

It is an arithmetic number, because the mean of its divisors is an integer number (5477149281240).

Almost surely, 2222201000212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222201000212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262903165499520).

222201000212022 is an abundant number, since it is smaller than the sum of its proper divisors (303605330787018).

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

222201000212022 is a wasteful number, since it uses less digits than its factorization.

222201000212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889138 (or 889135 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222201000212022 its reverse (220212000102222), we get a palindrome (442413000314244).

The spelling of 222201000212022 in words is "two hundred twenty-two trillion, two hundred one billion, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 5538 8307 15307 16614 30614 45921 91842 137763 198991 275526 397982 596973 873739 1086797 1193946 1747478 1790919 2173594 2621217 3260391 3581838 5242434 6520782 7863651 9781173 11358607 14128361 15727302 19562346 22717214 28256722 34075821 42385083 62035469 68151642 84770166 102227463 124070938 127155249 186106407 204454926 254310498 372212814 558319221 806461097 1116638442 1612922194 2419383291 4838766582 7258149873 13374322873 14516299746 26748645746 40122968619 80245937238 120368905857 173866197349 240737811714 347732394698 521598592047 949576923983 1043197184094 1564795776141 1899153847966 2848730771949 3129591552282 5697461543898 8546192315847 12344500011779 17092384631694 24689000023558 37033500035337 74067000070674 111100500106011 222201000212022