Search a number
-
+
202201122222 = 2321117339714869
BaseRepresentation
bin1011110001010000100…
…0000100010110101110
3201022220202002021112200
42330110020010112232
511303101441402342
6232520115442330
720415506115651
oct2742410042656
9638822067480
10202201122222
1178831297980
12332308b63a6
13160b5354568
149b02571898
1553d681394c
hex2f142045ae

202201122222 has 96 divisors (see below), whose sum is σ = 481935748320. Its totient is φ = 60761352960.

The previous prime is 202201122191. The next prime is 202201122241. The reversal of 202201122222 is 222221102202.

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 = 202201122195 and 202201122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13591404 + ... + 13606272.

It is an arithmetic number, because the mean of its divisors is an integer number (5020164045).

Almost surely, 2202201122222 is an apocalyptic number.

202201122222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202201122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240967874160).

202201122222 is an abundant number, since it is smaller than the sum of its proper divisors (279734626098).

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

202201122222 is a wasteful number, since it uses less digits than its factorization.

202201122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15458 (or 15455 counting only the distinct ones).

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

Adding to 202201122222 its reverse (222221102202), we get a palindrome (424422224424).

It can be divided in two parts, 202201 and 122222, that added together give a palindrome (324423).

The spelling of 202201122222 in words is "two hundred two billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 397 519 794 1038 1191 1557 1903 2382 3114 3573 3806 4367 5709 7146 8734 11418 13101 14869 17127 26202 29738 34254 39303 44607 68681 78606 89214 133821 137362 163559 206043 267642 327118 412086 490677 618129 755491 981354 1236258 1472031 1510982 2266473 2572337 2944062 4532946 5144674 5902993 6799419 7717011 11805986 13598838 15434022 17708979 23151033 28295707 35417958 46302066 53126937 56591414 64932923 84887121 106253874 129865846 169774242 194798769 254661363 389597538 509322726 584396307 1021217789 1168792614 2042435578 3063653367 6127306734 9190960101 11233395679 18381920202 22466791358 33700187037 67400374074 101100561111 202201122222