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202004220 = 223511421727
BaseRepresentation
bin11000000101001…
…01011011111100
3112002002212200210
430002211123330
5403203113340
632013352420
75002002405
oct1402453374
9462085623
10202004220
11a4031840
1257798710
1332b09632
141cb849ac
1512b03180
hexc0a56fc

202004220 has 96 divisors (see below), whose sum is σ = 619347456. Its totient is φ = 48787200.

The previous prime is 202004177. The next prime is 202004221. The reversal of 202004220 is 22400202.

It is a happy number.

202004220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 202004196 and 202004205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202004221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277497 + ... + 278223.

It is an arithmetic number, because the mean of its divisors is an integer number (6451536).

Almost surely, 2202004220 is an apocalyptic number.

202004220 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 202004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309673728).

202004220 is an abundant number, since it is smaller than the sum of its proper divisors (417343236).

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

202004220 is a wasteful number, since it uses less digits than its factorization.

202004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

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

The square root of 202004220 is about 14212.8188618585. The cubic root of 202004220 is about 586.7505167398.

Adding to 202004220 its reverse (22400202), we get a palindrome (224404422).

The spelling of 202004220 in words is "two hundred two million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 421 660 727 842 1263 1454 1684 2105 2181 2526 2908 3635 4210 4362 4631 5052 6315 7270 7997 8420 8724 9262 10905 12630 13893 14540 15994 18524 21810 23155 23991 25260 27786 31988 39985 43620 46310 47982 55572 69465 79970 92620 95964 119955 138930 159940 239910 277860 306067 479820 612134 918201 1224268 1530335 1836402 3060670 3366737 3672804 4591005 6121340 6733474 9182010 10100211 13466948 16833685 18364020 20200422 33667370 40400844 50501055 67334740 101002110 202004220