Search a number
-
+
212221220022 = 2357113552047
BaseRepresentation
bin1100010110100101011…
…1101101010010110110
3202021210001122222200000
43011221113231102312
511434112113020042
6241254301132130
721222016415040
oct3055127552266
9667701588600
10212221220022
1182003389739
123516855a046
131702125a806
14a3b3246a90
1557c134174c
hex31695ed4b6

212221220022 has 96 divisors (see below), whose sum is σ = 549786811392. Its totient is φ = 60097935744.

The previous prime is 212221220021. The next prime is 212221220023. The reversal of 212221220022 is 220022122212.

It is an interprime number because it is at equal distance from previous prime (212221220021) and next prime (212221220023).

It is a super-2 number, since 2×2122212200222 (a number of 23 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 = 212221219977 and 212221220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221220021) 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, 108403 + ... + 660449.

It is an arithmetic number, because the mean of its divisors is an integer number (5726945952).

Almost surely, 2212221220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274893405696).

212221220022 is an abundant number, since it is smaller than the sum of its proper divisors (337565591370).

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

212221220022 is a wasteful number, since it uses less digits than its factorization.

212221220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552184 (or 552172 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212221220022 its reverse (220022122212), we get a palindrome (432243342234).

The spelling of 212221220022 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 243 339 378 486 567 678 791 1017 1134 1582 1701 2034 2373 3051 3402 4746 6102 7119 9153 14238 18306 21357 27459 42714 54918 64071 128142 192213 384426 552047 1104094 1656141 3312282 3864329 4968423 7728658 9936846 11592987 14905269 23185974 29810538 34778961 44715807 62381311 69557922 89431614 104336883 124762622 134147421 187143933 208673766 268294842 313010649 374287866 436669177 561431799 626021298 873338354 939031947 1122863598 1310007531 1684295397 1878063894 2620015062 3368590794 3930022593 5052886191 7860045186 10105772382 11790067779 15158658573 23580135558 30317317146 35370203337 70740406674 106110610011 212221220022