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2220201000 = 233253246689
BaseRepresentation
bin1000010001010101…
…1001010000101000
312201201200220012200
42010111121100220
514021332413000
61004150340200
7106006253133
oct20425312050
95651626180
102220201000
11a3a277966
1251b65a660
13294c85404
14170c1921a
15cedac500
hex84559428

2220201000 has 96 divisors (see below), whose sum is σ = 7504309800. Its totient is φ = 592051200.

The previous prime is 2220200989. The next prime is 2220201013. The reversal of 2220201000 is 1020222.

It can be written as a sum of positive squares in 4 ways, for example, as 198979236 + 2021221764 = 14106^2 + 44958^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114345 + ... + 132344.

Almost surely, 22220201000 is an apocalyptic number.

2220201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220201000 is an abundant number, since it is smaller than the sum of its proper divisors (5284108800).

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

2220201000 is a wasteful number, since it uses less digits than its factorization.

2220201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246716 (or 246699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220201000 is about 47119.0089029895. The cubic root of 2220201000 is about 1304.5601195036.

Adding to 2220201000 its reverse (1020222), we get a palindrome (2221221222).

The spelling of 2220201000 in words is "two billion, two hundred twenty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 246689 493378 740067 986756 1233445 1480134 1973512 2220201 2466890 2960268 3700335 4440402 4933780 5920536 6167225 7400670 8880804 9867560 11101005 12334450 14801340 17761608 18501675 22202010 24668900 29602680 30836125 37003350 44404020 49337800 55505025 61672250 74006700 88808040 92508375 111010050 123344500 148013400 185016750 222020100 246689000 277525125 370033500 444040200 555050250 740067000 1110100500 2220201000