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122202 = 2333173
BaseRepresentation
bin11101110101011010
320012122000
4131311122
512402302
62341430
71016163
oct356532
9205560
10122202
11838a3
125a876
1343812
143276a
152631c
hex1dd5a

122202 has 32 divisors (see below), whose sum is σ = 284160. Its totient is φ = 38880.

The previous prime is 122201. The next prime is 122203. The reversal of 122202 is 202221.

Adding to 122202 its reverse (202221), we get a palindrome (324423).

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

It is an interprime number because it is at equal distance from previous prime (122201) and next prime (122203).

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 (122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1638 + ... + 1710.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142080).

122202 is an abundant number, since it is smaller than the sum of its proper divisors (161958).

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

122202 is a wasteful number, since it uses less digits than its factorization.

122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

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

The square root of 122202 is about 349.5740264951. The cubic root of 122202 is about 49.6241146181.

The spelling of 122202 in words is "one hundred twenty-two thousand, two hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 31 54 62 73 93 146 186 219 279 438 558 657 837 1314 1674 1971 2263 3942 4526 6789 13578 20367 40734 61101 122202