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2200021000 = 2353171271019
BaseRepresentation
bin1000001100100001…
…1010100000001000
312200022201122110021
42003020122200020
514001201133000
61002150030224
7105342604252
oct20310324010
95608648407
102200021000
11a29944381
12514948374
13290a3b098
1416c284cd2
15cd22311a
hex8321a808

2200021000 has 128 divisors (see below), whose sum is σ = 5499187200. Its totient is φ = 820915200.

The previous prime is 2200020941. The next prime is 2200021007. The reversal of 2200021000 is 1200022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2200021007) 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, 2158491 + ... + 2159509.

It is an arithmetic number, because the mean of its divisors is an integer number (42962400).

Almost surely, 22200021000 is an apocalyptic number.

2200021000 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 2200021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749593600).

2200021000 is an abundant number, since it is smaller than the sum of its proper divisors (3299166200).

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

2200021000 is a wasteful number, since it uses less digits than its factorization.

2200021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2200021000 is about 46904.3814584523. The cubic root of 2200021000 is about 1300.5955850837.

Adding to 2200021000 its reverse (1200022), we get a palindrome (2201221022).

The spelling of 2200021000 in words is "two billion, two hundred million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 127 136 170 200 250 254 340 425 500 508 635 680 850 1000 1016 1019 1270 1700 2038 2125 2159 2540 3175 3400 4076 4250 4318 5080 5095 6350 8152 8500 8636 10190 10795 12700 15875 17000 17272 17323 20380 21590 25400 25475 31750 34646 40760 43180 50950 53975 63500 69292 86360 86615 101900 107950 127000 127375 129413 138584 173230 203800 215900 254750 258826 269875 346460 431800 433075 509500 517652 539750 647065 692920 866150 1019000 1035304 1079500 1294130 1732300 2159000 2165375 2200021 2588260 3235325 3464600 4330750 4400042 5176520 6470650 8661500 8800084 11000105 12941300 16176625 17323000 17600168 22000210 25882600 32353250 44000420 55000525 64706500 88000840 110001050 129413000 220002100 275002625 440004200 550005250 1100010500 2200021000