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22230031122 = 23313191799311
BaseRepresentation
bin10100101101000000…
…110101101100010010
32010101020201120212000
4110231000311230102
5331011341443442
614113510414430
71414611101235
oct245500655422
963336646760
1022230031122
119478300452
124384961416
1321336c2490
14110c53d41c
158a191ad4c
hex52d035b12

22230031122 has 128 divisors (see below), whose sum is σ = 56318976000. Its totient is φ = 6443115840.

The previous prime is 22230031091. The next prime is 22230031123. The reversal of 22230031122 is 22113003222.

It is a Harshad number since it is a multiple of its sum of digits (18).

22230031122 is a modest number, since divided by 31122 gives 22230 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22230031095 and 22230031104.

It is not an unprimeable number, because it can be changed into a prime (22230031123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2382847 + ... + 2392157.

It is an arithmetic number, because the mean of its divisors is an integer number (439992000).

Almost surely, 222230031122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28159488000).

22230031122 is an abundant number, since it is smaller than the sum of its proper divisors (34088944878).

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

22230031122 is a wasteful number, since it uses less digits than its factorization.

22230031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9527 counting only the distinct ones).

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

Adding to 22230031122 its reverse (22113003222), we get a palindrome (44343034344).

The spelling of 22230031122 in words is "twenty-two billion, two hundred thirty million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 179 234 247 342 351 358 494 513 537 702 741 1026 1074 1482 1611 2223 2327 3222 3401 4446 4654 4833 6669 6802 6981 9311 9666 10203 13338 13962 18622 20406 20943 27933 30609 41886 44213 55866 61218 62829 83799 88426 91827 121043 125658 132639 167598 176909 183654 242086 251397 265278 353818 363129 397917 502794 530727 726258 795834 1061454 1089387 1193751 1592181 1666669 2178774 2299817 2387502 3184362 3268161 3333338 4599634 4776543 5000007 6536322 6899451 9553086 10000014 13798902 15000021 20698353 21666697 30000042 31666711 41396706 43333394 45000063 62095059 63333422 65000091 90000126 95000133 124190118 130000182 190000266 195000273 285000399 390000546 411667243 570000798 585000819 823334486 855001197 1170001638 1235001729 1710002394 2470003458 3705005187 7410010374 11115015561 22230031122