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22231020312 = 23321013139767
BaseRepresentation
bin10100101101000100…
…100111001100011000
32010101022120211202200
4110231010213030120
5331012120122222
614113543530200
71414622361204
oct245504471430
963338524680
1022231020312
119478916666
124385159960
13213397a7b7
14110c719b04
158a1a63eac
hex52d127318

22231020312 has 96 divisors (see below), whose sum is σ = 61005653280. Its totient is φ = 7312780800.

The previous prime is 22231020283. The next prime is 22231020349. The reversal of 22231020312 is 21302013222.

22231020312 is a `hidden beast` number, since 2 + 22 + 310 + 20 + 312 = 666.

It is a super-2 number, since 2×222310203122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271253 + ... + 2281019.

It is an arithmetic number, because the mean of its divisors is an integer number (635475555).

Almost surely, 222231020312 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 22231020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30502826640).

22231020312 is an abundant number, since it is smaller than the sum of its proper divisors (38774632968).

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

22231020312 is a wasteful number, since it uses less digits than its factorization.

22231020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193 (or 10186 counting only the distinct ones).

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

Adding to 22231020312 its reverse (21302013222), we get a palindrome (43533033534).

The spelling of 22231020312 in words is "twenty-two billion, two hundred thirty-one million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 313 404 606 626 808 909 939 1212 1252 1818 1878 2424 2504 2817 3636 3756 5634 7272 7512 9767 11268 19534 22536 29301 31613 39068 58602 63226 78136 87903 94839 117204 126452 175806 189678 234408 252904 284517 351612 379356 569034 703224 758712 986467 1138068 1972934 2276136 2959401 3057071 3945868 5918802 6114142 7891736 8878203 9171213 11837604 12228284 17756406 18342426 23675208 24456568 27513639 35512812 36684852 55027278 71025624 73369704 110054556 220109112 308764171 617528342 926292513 1235056684 1852585026 2470113368 2778877539 3705170052 5557755078 7410340104 11115510156 22231020312