Search a number
-
+
202122020 = 22510106101
BaseRepresentation
bin11000000110000…
…10001100100100
3112002022212021202
430003002030210
5403220401040
632020102032
75003003012
oct1403021444
9462285252
10202122020
11a41022a1
1257834918
1332b4b139
141cbb58b2
1512b28015
hexc0c2324

202122020 has 12 divisors (see below), whose sum is σ = 424456284. Its totient is φ = 80848800.

The previous prime is 202122013. The next prime is 202122029. The reversal of 202122020 is 20221202.

It can be written as a sum of positive squares in 2 ways, for example, as 119421184 + 82700836 = 10928^2 + 9094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202121992 and 202122010.

It is not an unprimeable number, because it can be changed into a prime (202122029) 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, 5053031 + ... + 5053070.

It is an arithmetic number, because the mean of its divisors is an integer number (35371357).

Almost surely, 2202122020 is an apocalyptic number.

202122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122020 is an abundant number, since it is smaller than the sum of its proper divisors (222334264).

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

202122020 is a wasteful number, since it uses less digits than its factorization.

202122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106110 (or 10106108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 202122020 is about 14216.9624041143. The cubic root of 202122020 is about 586.8645502972.

Adding to 202122020 its reverse (20221202), we get a palindrome (222343222).

The spelling of 202122020 in words is "two hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 10106101 20212202 40424404 50530505 101061010 202122020