Search a number
-
+
202200222001122 = 23211233345666729
BaseRepresentation
bin101101111110011001101000…
…011001111110011111100010
3222111221011010010111102022200
4231332121220121332133202
5203000322023313013442
61554013255530514030
760406324665616302
oct5576315031763742
9874834103442280
10202200222001122
11594776a5a75034
121a817911295916
1388a9525b30917
1437d0785c63602
151859a59c4434c
hexb7e66867e7e2

202200222001122 has 12 divisors (see below), whose sum is σ = 438100481002470. Its totient is φ = 67400074000368.

The previous prime is 202200222001111. The next prime is 202200222001123. The reversal of 202200222001122 is 221100222002202.

It can be written as a sum of positive squares in only one way, i.e., 172011120320601 + 30189101680521 = 13115301^2 + 5494461^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11233345666729 = 202200222001122 / (2 + 0 + 2 + 2 + 0 + 0 + 2 + 2 + 2 + 0 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 202200222001095 and 202200222001104.

It is not an unprimeable number, because it can be changed into a prime (202200222001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616672833347 + ... + 5616672833382.

Almost surely, 2202200222001122 is an apocalyptic number.

202200222001122 is an abundant number, since it is smaller than the sum of its proper divisors (235900259001348).

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

202200222001122 is a wasteful number, since it uses less digits than its factorization.

202200222001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233345666737 (or 11233345666734 counting only the distinct ones).

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

Adding to 202200222001122 its reverse (221100222002202), we get a palindrome (423300444003324).

The spelling of 202200222001122 in words is "two hundred two trillion, two hundred billion, two hundred twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11233345666729 22466691333458 33700037000187 67400074000374 101100111000561 202200222001122