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22244321022 = 23711194753917
BaseRepresentation
bin10100101101110111…
…010110011011111110
32010102020121120220120
4110231313112123332
5331024021233042
614115140555410
71415143415610
oct245567263376
963366546816
1022244321022
119485380690
1243896b2b66
132136656841
1411103bcdb0
158a2cdedec
hex52ddd66fe

22244321022 has 128 divisors (see below), whose sum is σ = 59628994560. Its totient is φ = 5357093760.

The previous prime is 22244320913. The next prime is 22244321051. The reversal of 22244321022 is 22012344222.

It is a super-2 number, since 2×222443210222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22244320983 and 22244321001.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 385608 + ... + 439524.

It is an arithmetic number, because the mean of its divisors is an integer number (465851520).

Almost surely, 222244321022 is an apocalyptic number.

22244321022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22244321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814497280).

22244321022 is an abundant number, since it is smaller than the sum of its proper divisors (37384673538).

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

22244321022 is a wasteful number, since it uses less digits than its factorization.

22244321022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54006.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22244321022 its reverse (22012344222), we get a palindrome (44256665244).

The spelling of 22244321022 in words is "twenty-two billion, two hundred forty-four million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 47 57 66 77 94 114 133 141 154 209 231 266 282 329 399 418 462 517 627 658 798 893 987 1034 1254 1463 1551 1786 1974 2679 2926 3102 3619 4389 5358 6251 7238 8778 9823 10857 12502 18753 19646 21714 29469 37506 53917 58938 68761 107834 137522 161751 206283 323502 377419 412566 593087 754838 1024423 1132257 1186174 1779261 2048846 2264514 2534099 3073269 3558522 4151609 5068198 6146538 7170961 7602297 8303218 11268653 12454827 14341922 15204594 17738693 21512883 22537306 24909654 27875089 33805959 35477386 43025766 48147881 53216079 55750178 67611918 78880571 83625267 96295762 106432158 144443643 157761142 167250534 195125623 236641713 288887286 337035167 390251246 473283426 529626691 585376869 674070334 1011105501 1059253382 1170753738 1588880073 2022211002 3177760146 3707386837 7414773674 11122160511 22244321022