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202212220 = 225744211
BaseRepresentation
bin11000000110110…
…00001101111100
3112002111110000111
430003120031330
5403231242340
632022035404
75003530000
oct1403301574
9462443014
10202212220
11a4164041
1257878b64
1332b80202
141cbda700
1512b44aea
hexc0d837c

202212220 has 60 divisors (see below), whose sum is σ = 495508104. Its totient is φ = 69313440.

The previous prime is 202212211. The next prime is 202212233. The reversal of 202212220 is 22212202.

It is a self number, because there is not a number n which added to its sum of digits gives 202212220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45915 + ... + 50125.

Almost surely, 2202212220 is an apocalyptic number.

202212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247754052).

202212220 is an abundant number, since it is smaller than the sum of its proper divisors (293295884).

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

202212220 is an equidigital number, since it uses as much as digits as its factorization.

202212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 202212220 is about 14220.1343172278. The cubic root of 202212220 is about 586.9518363666.

Adding to 202212220 its reverse (22212202), we get a palindrome (224424422).

The spelling of 202212220 in words is "two hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4211 4802 6860 8422 9604 12005 16844 21055 24010 29477 42110 48020 58954 84220 117908 147385 206339 294770 412678 589540 825356 1031695 1444373 2063390 2888746 4126780 5777492 7221865 10110611 14443730 20221222 28887460 40442444 50553055 101106110 202212220