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222030003020 = 225753278910729
BaseRepresentation
bin1100111011001000000…
…1001111101101001100
3210020002122121210101012
43032302001033231030
512114204140044040
6245555453304352
722020052613030
oct3166201175514
9706078553335
10222030003020
118618716a571
12370454950b8
1317c25447617
14aa63c321c0
155b9752c865
hex33b204fb4c

222030003020 has 96 divisors (see below), whose sum is σ = 543171484800. Its totient is φ = 74654521344.

The previous prime is 222030003001. The next prime is 222030003031. The reversal of 222030003020 is 20300030222.

222030003020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220300030202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 222030002986 and 222030003004.

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 31 ways as a sum of consecutive naturals, for example, 20689016 + ... + 20699744.

It is an arithmetic number, because the mean of its divisors is an integer number (5658036300).

Almost surely, 2222030003020 is an apocalyptic number.

222030003020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222030003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271585742400).

222030003020 is an abundant number, since it is smaller than the sum of its proper divisors (321141481780).

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

222030003020 is a wasteful number, since it uses less digits than its factorization.

222030003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13585 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 222030003020 its reverse (20300030222), we get a palindrome (242330033242).

It can be divided in two parts, 2 and 22030003020, that added together give a palindrome (22030003022).

The spelling of 222030003020 in words is "two hundred twenty-two billion, thirty million, three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 2789 3710 5578 7420 10729 11156 13945 19523 21458 27890 39046 42916 53645 55780 75103 78092 97615 107290 147817 150206 195230 214580 295634 300412 375515 390460 568637 591268 739085 751030 1034719 1137274 1478170 1502060 2069438 2274548 2843185 2956340 3980459 4138876 5173595 5686370 7960918 10347190 11372740 15921836 19902295 20694380 29923181 39804590 59846362 79609180 119692724 149615905 209462267 299231810 418924534 598463620 837849068 1047311335 1585928593 2094622670 3171857186 4189245340 6343714372 7929642965 11101500151 15859285930 22203000302 31718571860 44406000604 55507500755 111015001510 222030003020