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22016461002444 = 2234619781113891
BaseRepresentation
bin1010000000110000110110…
…10101100101011011001100
32212221202100000120220220000
411000120123111211123030
510341204203004034234
6114454120023324300
74431431266522506
oct500303325453314
985852300526800
1022016461002444
1170191462a4677
122576b302b0690
13c391b2c80c2c
14561860da2d76
15282a7306c899
hex14061b5656cc

22016461002444 has 120 divisors (see below), whose sum is σ = 58505403341616. Its totient is φ = 7217710416000.

The previous prime is 22016461002439. The next prime is 22016461002551. The reversal of 22016461002444 is 44420016461022.

22016461002444 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 646 + 1 + 0 + 0 + 2 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×220164610024442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22016461002399 and 22016461002408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193254739 + ... + 193368629.

Almost surely, 222016461002444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22016461002444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29252701670808).

22016461002444 is an abundant number, since it is smaller than the sum of its proper divisors (36488942339172).

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

22016461002444 is a wasteful number, since it uses less digits than its factorization.

22016461002444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123749 (or 123738 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 22016461002444 its reverse (44420016461022), we get a palindrome (66436477463466).

The spelling of 22016461002444 in words is "twenty-two trillion, sixteen billion, four hundred sixty-one million, two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4941 6588 9781 9882 19562 19764 29343 39124 58686 88029 113891 117372 176058 227782 264087 341673 352116 455564 528174 596641 683346 792261 1025019 1056348 1193282 1366692 1584522 1789923 2050038 2386564 3075057 3169044 3579846 4100076 5369769 6150114 6947351 7159692 9225171 10739538 12300228 13894702 16109307 18450342 20842053 21479076 27789404 32218614 36900684 41684106 48327921 62526159 64437228 83368212 96655842 125052318 187578477 193311684 250104636 375156954 562735431 750313908 1113967871 1125470862 2227935742 2250941724 3341903613 4455871484 6683807226 10025710839 13367614452 20051421678 30077132517 40102843356 60154265034 67952040131 90231397551 120308530068 135904080262 180462795102 203856120393 271808160524 360925590204 407712240786 611568361179 815424481572 1223136722358 1834705083537 2446273444716 3669410167074 5504115250611 7338820334148 11008230501222 22016461002444