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204022042420 = 2257107110912281
BaseRepresentation
bin1011111000000010101…
…0010100111100110100
3201111121122110121110111
42332000222110330310
511320314120324140
6233420524232404
720511566514130
oct2760052247464
9644548417414
10204022042420
11795861401a9
123365a69b704
131631568a831
149c363323c0
1554916007ea
hex2f80a94f34

204022042420 has 96 divisors (see below), whose sum is σ = 494715029760. Its totient is φ = 69228549120.

The previous prime is 204022042391. The next prime is 204022042453. The reversal of 204022042420 is 24240220402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 204022042391 and 204022042400.

It is a congruent number.

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, 16606680 + ... + 16618960.

It is an arithmetic number, because the mean of its divisors is an integer number (5153281560).

Almost surely, 2204022042420 is an apocalyptic number.

204022042420 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 204022042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247357514880).

204022042420 is an abundant number, since it is smaller than the sum of its proper divisors (290692987340).

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

204022042420 is a wasteful number, since it uses less digits than its factorization.

204022042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13513 (or 13511 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 204022042420 its reverse (24240220402), we get a palindrome (228262262822).

The spelling of 204022042420 in words is "two hundred four billion, twenty-two million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1109 1498 2140 2218 2996 3745 4436 5545 7490 7763 11090 12281 14980 15526 22180 24562 31052 38815 49124 61405 77630 85967 118663 122810 155260 171934 237326 245620 343868 429835 474652 593315 830641 859670 1186630 1314067 1661282 1719340 2373260 2628134 3322564 4153205 5256268 6570335 8306410 9198469 13140670 13619629 16612820 18396938 26281340 27239258 36793876 45992345 54478516 68098145 91984690 95337403 136196290 183969380 190674806 272392580 381349612 476687015 953374030 1457300303 1906748060 2914600606 5829201212 7286501515 10201102121 14573003030 20402204242 29146006060 40804408484 51005510605 102011021210 204022042420