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204022020 = 2235101131257
BaseRepresentation
bin11000010100100…
…10000100000100
3112012220101121010
430022102010010
5404212201040
632124522220
75025105246
oct1412220404
9465811533
10204022020
11a518a844
12583b0370
1333364bb7
141d14c096
1512da0e80
hexc292104

204022020 has 96 divisors (see below), whose sum is σ = 583583616. Its totient is φ = 53248000.

The previous prime is 204022001. The next prime is 204022043. The reversal of 204022020 is 20220402.

It is a happy number.

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 = 204021987 and 204022005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793732 + ... + 793988.

It is an arithmetic number, because the mean of its divisors is an integer number (6078996).

Almost surely, 2204022020 is an apocalyptic number.

204022020 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 204022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291791808).

204022020 is an abundant number, since it is smaller than the sum of its proper divisors (379561596).

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

204022020 is a wasteful number, since it uses less digits than its factorization.

204022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

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

The square root of 204022020 is about 14283.6276904714. The cubic root of 204022020 is about 588.6977117387.

Adding to 204022020 its reverse (20220402), we get a palindrome (224242422).

It can be divided in two parts, 20402 and 2020, that added together give a palindrome (22422).

The spelling of 204022020 in words is "two hundred four million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 131 202 257 262 303 393 404 505 514 524 606 655 771 786 1010 1028 1212 1285 1310 1515 1542 1572 1965 2020 2570 2620 3030 3084 3855 3930 5140 6060 7710 7860 13231 15420 25957 26462 33667 39693 51914 52924 66155 67334 77871 79386 101001 103828 129785 132310 134668 155742 158772 168335 198465 202002 259570 264620 311484 336670 389355 396930 404004 505005 519140 673340 778710 793860 1010010 1557420 2020020 3400367 6800734 10201101 13601468 17001835 20402202 34003670 40804404 51005505 68007340 102011010 204022020