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202220220 = 223573137337
BaseRepresentation
bin11000000110110…
…10001010111100
3112002111211222210
430003122022330
5403232021340
632022140420
75003562216
oct1403321274
9462454883
10202220220
11a416a054
1257881710
1332b83a47
141cbdd5b6
1512b47180
hexc0da2bc

202220220 has 96 divisors (see below), whose sum is σ = 579878208. Its totient is φ = 52641792.

The previous prime is 202220201. The next prime is 202220233. The reversal of 202220220 is 22022202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202220196 and 202220205.

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 31 ways as a sum of consecutive naturals, for example, 599892 + ... + 600228.

It is an arithmetic number, because the mean of its divisors is an integer number (6040398).

Almost surely, 2202220220 is an apocalyptic number.

202220220 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 202220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289939104).

202220220 is an abundant number, since it is smaller than the sum of its proper divisors (377657988).

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

202220220 is a wasteful number, since it uses less digits than its factorization.

202220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 202220220 is about 14220.4156057409. The cubic root of 202220220 is about 586.9595766716.

Adding to 202220220 its reverse (22022202), we get a palindrome (224242422).

The spelling of 202220220 in words is "two hundred two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 219 274 292 337 365 411 438 548 674 685 730 822 876 1011 1095 1348 1370 1460 1644 1685 2022 2055 2190 2740 3370 4044 4110 4380 5055 6740 8220 10001 10110 20002 20220 24601 30003 40004 46169 49202 50005 60006 73803 92338 98404 100010 120012 123005 138507 147606 150015 184676 200020 230845 246010 277014 295212 300030 369015 461690 492020 554028 600060 692535 738030 923380 1385070 1476060 2770140 3370337 6740674 10111011 13481348 16851685 20222022 33703370 40444044 50555055 67406740 101110110 202220220