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2050420200 = 2335222914923
BaseRepresentation
bin111101000110110…
…1110110111101000
312021220020010201220
41322031232313220
513144401421300
6535243342040
7101545166313
oct17215566750
95256203656
102050420200
11962455054
12492821920
13268a4baba
1415646197a
15c0021da0
hex7a36ede8

2050420200 has 96 divisors (see below), whose sum is σ = 6384487200. Its totient is φ = 544354560.

The previous prime is 2050420199. The next prime is 2050420217. The reversal of 2050420200 is 20240502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2050420200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129939 + ... + 144861.

It is an arithmetic number, because the mean of its divisors is an integer number (66505075).

Almost surely, 22050420200 is an apocalyptic number.

2050420200 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 2050420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192243600).

2050420200 is an abundant number, since it is smaller than the sum of its proper divisors (4334067000).

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

2050420200 is a wasteful number, since it uses less digits than its factorization.

2050420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2050420200 is about 45281.5657856484. The cubic root of 2050420200 is about 1270.4208826779.

Adding to 2050420200 its reverse (20240502), we get a palindrome (2070660702).

It can be divided in two parts, 20504 and 20200, that added together give a palindrome (40704).

The spelling of 2050420200 in words is "two billion, fifty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 229 300 458 600 687 916 1145 1374 1832 2290 2748 3435 4580 5496 5725 6870 9160 11450 13740 14923 17175 22900 27480 29846 34350 44769 45800 59692 68700 74615 89538 119384 137400 149230 179076 223845 298460 358152 373075 447690 596920 746150 895380 1119225 1492300 1790760 2238450 2984600 3417367 4476900 6834734 8953800 10252101 13669468 17086835 20504202 27338936 34173670 41008404 51260505 68347340 82016808 85434175 102521010 136694680 170868350 205042020 256302525 341736700 410084040 512605050 683473400 1025210100 2050420200