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222121002202220 = 225114799121676813
BaseRepresentation
bin110010100000010010010011…
…011011101111010001101100
31002010110120010112221011200102
4302200102103123233101230
5213103212303030432340
62104224551341450232
764533466333522322
oct6240222333572154
91063416115834612
10222121002202220
1164857a96073690
1220ab4656270978
1396c2bc781c9b4
143cbc9dcbd9d12
151aa2d24d72215
hexca04936ef46c

222121002202220 has 96 divisors (see below), whose sum is σ = 520210240413696. Its totient is φ = 78972961478400.

The previous prime is 222121002202217. The next prime is 222121002202241. The reversal of 222121002202220 is 22202200121222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222121002202192 and 222121002202201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591467 + ... + 21085346.

It is an arithmetic number, because the mean of its divisors is an integer number (5418856670976).

Almost surely, 2222121002202220 is an apocalyptic number.

222121002202220 is a gapful number since it is divisible by the number (20) 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 222121002202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260105120206848).

222121002202220 is an abundant number, since it is smaller than the sum of its proper divisors (298089238211476).

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

222121002202220 is a wasteful number, since it uses less digits than its factorization.

222121002202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21677871 (or 21677869 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222121002202220 its reverse (22202200121222), we get a palindrome (244323202323442).

It can be divided in two parts, 222121002 and 202220, that added together give a palindrome (222323222).

The spelling of 222121002202220 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 991 1034 1982 2068 2585 3964 4955 5170 9910 10340 10901 19820 21802 43604 46577 54505 93154 109010 186308 218020 232885 465770 512347 931540 1024694 2049388 2561735 5123470 10246940 21676813 43353626 86707252 108384065 216768130 238444943 433536260 476889886 953779772 1018810211 1192224715 2037620422 2384449430 4075240844 4768898860 5094051055 10188102110 11206912321 20376204220 21481721683 22413824642 42963443366 44827649284 56034561605 85926886732 107408608415 112069123210 214817216830 224138246420 236298938513 429634433660 472597877026 945195754052 1009640919101 1181494692565 2019281838202 2362989385130 4038563676404 4725978770260 5048204595505 10096409191010 11106050110111 20192818382020 22212100220222 44424200440444 55530250550555 111060501101110 222121002202220