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2200141300 = 2252731531913
BaseRepresentation
bin1000001100100011…
…0111110111110100
312200022221202110211
42003020313313310
514001214010200
61002152355204
7105343615060
oct20310676764
95608852424
102200141300
11a29a167a5
125149a5b04
13290a80a76
1416c2b6aa0
15cd248aba
hex83237df4

2200141300 has 144 divisors (see below), whose sum is σ = 5741632512. Its totient is φ = 715852800.

The previous prime is 2200141283. The next prime is 2200141313. The reversal of 2200141300 is 31410022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149144 + ... + 1151056.

It is an arithmetic number, because the mean of its divisors is an integer number (39872448).

Almost surely, 22200141300 is an apocalyptic number.

2200141300 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 2200141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870816256).

2200141300 is an abundant number, since it is smaller than the sum of its proper divisors (3541491212).

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

2200141300 is a wasteful number, since it uses less digits than its factorization.

2200141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2200141300 is about 46905.6638371103. The cubic root of 2200141300 is about 1300.6192907358.

Adding to 2200141300 its reverse (31410022), we get a palindrome (2231551322).

The spelling of 2200141300 in words is "two billion, two hundred million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 53 62 70 100 106 124 140 155 175 212 217 265 310 350 371 434 530 620 700 742 775 868 1060 1085 1325 1484 1550 1643 1855 1913 2170 2650 3100 3286 3710 3826 4340 5300 5425 6572 7420 7652 8215 9275 9565 10850 11501 13391 16430 18550 19130 21700 23002 26782 32860 37100 38260 41075 46004 47825 53564 57505 59303 66955 82150 95650 101389 115010 118606 133910 164300 191300 202778 230020 237212 267820 287525 296515 334775 405556 415121 506945 575050 593030 669550 709723 830242 1013890 1150100 1186060 1339100 1419446 1482575 1660484 2027780 2075605 2534725 2838892 2965150 3143059 3548615 4151210 5069450 5930300 6286118 7097230 8302420 10138900 10378025 12572236 14194460 15715295 17743075 20756050 22001413 31430590 35486150 41512100 44002826 62861180 70972300 78576475 88005652 110007065 157152950 220014130 314305900 440028260 550035325 1100070650 2200141300