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22123310022 = 232111931189701
BaseRepresentation
bin10100100110101001…
…101110101111000110
32010002210220121000200
4110212221232233012
5330302031410042
614055135151330
71412144014062
oct244651565706
963083817020
1022123310022
1194230392a0
124355075546
1321175676b8
1410dc2bcaa2
15897389c4c
hex526a6ebc6

22123310022 has 96 divisors (see below), whose sum is σ = 56819543040. Its totient is φ = 6146280000.

The previous prime is 22123309987. The next prime is 22123310051. The reversal of 22123310022 is 22001332122.

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 = 22123309977 and 22123310004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21772 + ... + 211472.

It is an arithmetic number, because the mean of its divisors is an integer number (591870240).

Almost surely, 222123310022 is an apocalyptic number.

22123310022 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 22123310022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28409771520).

22123310022 is an abundant number, since it is smaller than the sum of its proper divisors (34696233018).

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

22123310022 is a wasteful number, since it uses less digits than its factorization.

22123310022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189770 (or 189767 counting only the distinct ones).

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

Adding to 22123310022 its reverse (22001332122), we get a palindrome (44124642144).

The spelling of 22123310022 in words is "twenty-two billion, one hundred twenty-three million, three hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 31 33 38 57 62 66 93 99 114 171 186 198 209 279 341 342 418 558 589 627 682 1023 1178 1254 1767 1881 2046 3069 3534 3762 5301 6138 6479 10602 12958 19437 38874 58311 116622 189701 379402 569103 1138206 1707309 2086711 3414618 3604319 4173422 5880731 6260133 7208638 10812957 11761462 12520266 17642193 18780399 21625914 32438871 35284386 37560798 39647509 52926579 64688041 64877742 79295018 105853158 111733889 118942527 129376082 194064123 223467778 237885054 335201667 356827581 388128246 582192369 670403334 713655162 1005605001 1164384738 1229072779 2011210002 2458145558 3687218337 7374436674 11061655011 22123310022