Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
202122 = 23319197
BaseRepresentation
bin110001010110001010
3101021021000
4301112022
522431442
64155430
71501164
oct612612
9337230
10202122
11128948
1298b76
1370ccb
1453934
153ed4c
hex3158a

202122 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 63504.

The previous prime is 202121. The next prime is 202127. The reversal of 202122 is 221202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (202121) 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, 928 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

202122 is an abundant number, since it is smaller than the sum of its proper divisors (273078).

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

202122 is a wasteful number, since it uses less digits than its factorization.

202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202122 is about 449.5798038169. The cubic root of 202122 is about 58.6864530940.

Adding to 202122 its reverse (221202), we get a palindrome (423324).

It can be divided in two parts, 202 and 122, that added together give a square (324 = 182).

The spelling of 202122 in words is "two hundred two thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 197 342 394 513 591 1026 1182 1773 3546 3743 5319 7486 10638 11229 22458 33687 67374 101061 202122