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20330112222 = 23271817511187
BaseRepresentation
bin10010111011110001…
…001110010011011110
31221110211200201002100
4102323301032103132
5313114002042342
613201200505530
71316541050130
oct227361162336
957424621070
1020330112222
118692900242
123b3461b2a6
131bbcbb9804
14dac097050
157dec26e4c
hex4bbc4e4de

20330112222 has 96 divisors (see below), whose sum is σ = 50729462784. Its totient is φ = 5763960000.

The previous prime is 20330112211. The next prime is 20330112227. The reversal of 20330112222 is 22221103302.

20330112222 is a `hidden beast` number, since 2 + 0 + 330 + 112 + 222 = 666.

20330112222 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×203301122222 (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 junction number, because it is equal to n+sod(n) for n = 20330112195 and 20330112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330112227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17126713 + ... + 17127899.

It is an arithmetic number, because the mean of its divisors is an integer number (528431904).

Almost surely, 220330112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364731392).

20330112222 is an abundant number, since it is smaller than the sum of its proper divisors (30399350562).

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

20330112222 is a wasteful number, since it uses less digits than its factorization.

20330112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2131 counting only the distinct ones).

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

Adding to 20330112222 its reverse (22221103302), we get a palindrome (42551215524).

The spelling of 20330112222 in words is "twenty billion, three hundred thirty million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 751 1086 1187 1267 1502 1629 2253 2374 2534 3258 3561 3801 4506 5257 6759 7122 7602 8309 10514 10683 11403 13518 15771 16618 21366 22806 24927 31542 47313 49854 74781 94626 135931 149562 214847 271862 407793 429694 644541 815586 891437 951517 1223379 1289082 1503929 1782874 1903034 1933623 2446758 2674311 2854551 3007858 3867246 4511787 5348622 5709102 6240059 8022933 8563653 9023574 12480118 13535361 16045866 17127306 18720177 27070722 37440354 56160531 112321062 161350097 322700194 484050291 968100582 1129450679 1452150873 2258901358 2904301746 3388352037 6776704074 10165056111 20330112222