Search a number
-
+
22201222210222 = 2111009146464101
BaseRepresentation
bin1010000110001000111111…
…11101101010001010101110
32220121102020100101202100111
411003010133331222022232
510402221100341211342
6115115033425250234
74450661661055036
oct503043775521256
986542210352314
1022201222210222
11708a538175710
1225a68b449397a
13c50749136b93
1456a78b2608c6
1528778875e217
hex14311ff6a2ae

22201222210222 has 8 divisors (see below), whose sum is σ = 36329272707672. Its totient is φ = 10091464641000.

The previous prime is 22201222210213. The next prime is 22201222210229.

22201222210222 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×222012222102222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 1009146464101 = 22201222210222 / (2 + 2 + 2 + 0 + 1 + 2 + 2 + 2 + 2 + 1 + 0 + 2 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 22201222210193 and 22201222210202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201222210229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504573232029 + ... + 504573232072.

It is an arithmetic number, because the mean of its divisors is an integer number (4541159088459).

Almost surely, 222201222210222 is an apocalyptic number.

22201222210222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22201222210222 is a deficient number, since it is larger than the sum of its proper divisors (14128050497450).

22201222210222 is a wasteful number, since it uses less digits than its factorization.

22201222210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009146464114.

The product of its (nonzero) digits is 1024, while the sum is 22.

Multiplying 22201222210222 by its sum of digits (22), we get a palindrome (488426888624884).

It can be divided in two parts, 2220122 and 2210222, that added together give a palindrome (4430344).

The spelling of 22201222210222 in words is "twenty-two trillion, two hundred one billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 11 22 1009146464101 2018292928202 11100611105111 22201222210222