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22210103322 = 232111763110457
BaseRepresentation
bin10100101011110100…
…110100100000011010
32010022212020011001100
4110223310310200122
5330441241301242
614111515332230
71414246522551
oct245364644032
963285204040
1022210103322
11946802a3a0
12437a151076
13212c535b94
141109a32d98
1589ecd154c
hex52bd3481a

22210103322 has 96 divisors (see below), whose sum is σ = 55678057344. Its totient is φ = 6323788800.

The previous prime is 22210103303. The next prime is 22210103369. The reversal of 22210103322 is 22330101222.

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 = 22210103295 and 22210103304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2118718 + ... + 2129174.

It is an arithmetic number, because the mean of its divisors is an integer number (579979764).

Almost surely, 222210103322 is an apocalyptic number.

22210103322 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 22210103322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27839028672).

22210103322 is an abundant number, since it is smaller than the sum of its proper divisors (33467954022).

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

22210103322 is a wasteful number, since it uses less digits than its factorization.

22210103322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22210103322 its reverse (22330101222), we get a palindrome (44540204544).

The spelling of 22210103322 in words is "twenty-two billion, two hundred ten million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 631 1122 1262 1683 1893 3366 3786 5679 6941 10457 10727 11358 13882 20823 20914 21454 31371 32181 41646 62469 62742 64362 94113 96543 115027 117997 124938 177769 188226 193086 230054 235994 345081 353991 355538 533307 690162 707982 1035243 1061973 1066614 1599921 1955459 2070486 2123946 3199842 3910918 5866377 6598367 11732754 13196734 17599131 19795101 35198262 39590202 59385303 72582037 112172239 118770606 145164074 217746111 224344478 336516717 435492222 653238333 673033434 1009550151 1233894629 1306476666 2019100302 2467789258 3701683887 7403367774 11105051661 22210103322