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202113221 = 17531012221
BaseRepresentation
bin11000000110000…
…00000011000101
3112002022102012212
430003000003011
5403220110341
632015553205
75002635242
oct1403000305
9462272185
10202113221
11a40a6722
125782b805
1332b4712b
141cbb25c9
1512b255eb
hexc0c00c5

202113221 has 16 divisors (see below), whose sum is σ = 220297968. Its totient is φ = 184704000.

The previous prime is 202113199. The next prime is 202113257. The reversal of 202113221 is 122311202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73290721 + 128822500 = 8561^2 + 11350^2 .

It is a cyclic number.

It is not a de Polignac number, because 202113221 - 26 = 202113157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202113196 and 202113205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202113271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89891 + ... + 92111.

It is an arithmetic number, because the mean of its divisors is an integer number (13768623).

Almost surely, 2202113221 is an apocalyptic number.

It is an amenable number.

202113221 is a deficient number, since it is larger than the sum of its proper divisors (18184747).

202113221 is a wasteful number, since it uses less digits than its factorization.

202113221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 202113221 is about 14216.6529464568. The cubic root of 202113221 is about 586.8560341608.

Adding to 202113221 its reverse (122311202), we get a palindrome (324424423).

It can be divided in two parts, 20211 and 3221, that added together give a palindrome (23432).

The spelling of 202113221 in words is "two hundred two million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 17 53 101 901 1717 2221 5353 37757 91001 117713 224321 2001121 3813457 11889013 202113221