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22022202220220 = 22541271499198599
BaseRepresentation
bin1010000000111011100011…
…00010100101111010111100
32212222022011010201000002102
411000131301202211322330
510341302432232021340
6114500505433444232
74432023462210656
oct500356142457274
985868133630072
1022022202220220
117020622043554
122578072b70678
13c398b9550b07
14561c4768b6d6
15282cac0d9215
hex1407718a5ebc

22022202220220 has 96 divisors (see below), whose sum is σ = 47644934400000. Its totient is φ = 8545115865600.

The previous prime is 22022202220189. The next prime is 22022202220229. The reversal of 22022202220220 is 2202220222022.

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 = 22022202220192 and 22022202220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022202220229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110788481 + ... + 110987079.

It is an arithmetic number, because the mean of its divisors is an integer number (496301400000).

Almost surely, 222022202220220 is an apocalyptic number.

22022202220220 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 22022202220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23822467200000).

22022202220220 is an abundant number, since it is smaller than the sum of its proper divisors (25622732179780).

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

22022202220220 is a wasteful number, since it uses less digits than its factorization.

22022202220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199419 (or 199417 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

22022202220220 divided by its sum of digits (20) gives a palindrome (1101110111011).

Adding to 22022202220220 its reverse (2202220222022), we get a palindrome (24224422442242).

The spelling of 22022202220220 in words is "twenty-two trillion, twenty-two billion, two hundred two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 499 542 820 998 1084 1355 1996 2495 2710 4990 5420 9980 11111 20459 22222 40918 44444 55555 81836 102295 111110 135229 198599 204590 222220 270458 397198 409180 540916 676145 794396 992995 1352290 1985990 2704580 3971980 5544389 8142559 11088778 16285118 22177556 27721945 32570236 40712795 53820329 55443890 81425590 99100901 107640658 110887780 162851180 198201802 215281316 269101645 396403604 495504505 538203290 991009010 1076406580 1982018020 2206633489 4063136941 4413266978 8126273882 8826533956 11033167445 16252547764 20315684705 22066334890 26856344171 40631369410 44132669780 53712688342 81262738820 107425376684 134281720855 268563441710 537126883420 1101110111011 2202220222022 4404440444044 5505550555055 11011101110110 22022202220220