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22221211100022 = 23211997487723081
BaseRepresentation
bin1010000110101110001110…
…11001001110001101110110
32220200022211102000120021100
411003113013121032031312
510403033020020200042
6115132141120430530
74452300216606504
oct503270731161566
986608742016240
1022221211100022
117097a653a6450
1225aa752778446
13c525b342181c
1456b725c93674
1528805853324c
hex1435c764e376

22221211100022 has 96 divisors (see below), whose sum is σ = 52588602147744. Its totient is φ = 6725275660800.

The previous prime is 22221211099991. The next prime is 22221211100029. The reversal of 22221211100022 is 22000111212222.

It is a happy number.

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 = 22221211099968 and 22221211100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221211100029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962737522 + ... + 962760602.

It is an arithmetic number, because the mean of its divisors is an integer number (547797939039).

Almost surely, 222221211100022 is an apocalyptic number.

22221211100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22221211100022 is an abundant number, since it is smaller than the sum of its proper divisors (30367391047722).

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

22221211100022 is a wasteful number, since it uses less digits than its factorization.

22221211100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28974 (or 28971 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221211100022 its reverse (22000111212222), we get a palindrome (44221322312244).

The spelling of 22221211100022 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 997 1994 2991 4877 5982 8973 9754 10967 14631 17946 21934 23081 29262 32901 43893 46162 53647 65802 69243 87786 98703 107294 138486 160941 197406 207729 253891 321882 415458 482823 507782 761673 965646 1523346 2285019 4570038 4862369 9724738 14587107 23011757 29174214 43761321 46023514 53486059 69035271 87522642 106972118 112566037 138070542 160458177 207105813 225132074 253129327 320916354 337698111 414211626 481374531 506258654 675396222 759387981 962749062 1013094333 1238226407 1518775962 2026188666 2278163943 2476452814 3714679221 4556327886 7429358442 11144037663 22288075326 112228338889 224456677778 336685016667 673370033334 1010055050001 1234511727779 2020110100002 2469023455558 3703535183337 7407070366674 11110605550011 22221211100022