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2220200020 = 2254197103271
BaseRepresentation
bin1000010001010101…
…1001000001010100
312201201200211212101
42010111121001110
514021332400040
61004150331444
7106006250233
oct20425310124
95651624771
102220200020
11a3a277155
1251b659b84
13294c84b2c
14170c18b1a
15cedac09a
hex84559054

2220200020 has 96 divisors (see below), whose sum is σ = 4890203136. Its totient is φ = 846028800.

The previous prime is 2220199987. The next prime is 2220200029. The reversal of 2220200020 is 200020222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220200029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8192485 + ... + 8192755.

It is an arithmetic number, because the mean of its divisors is an integer number (50939616).

Almost surely, 22220200020 is an apocalyptic number.

2220200020 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 2220200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445101568).

2220200020 is an abundant number, since it is smaller than the sum of its proper divisors (2670003116).

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

2220200020 is a wasteful number, since it uses less digits than its factorization.

2220200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2220200020 is about 47118.9985037883. The cubic root of 2220200020 is about 1304.5599275586.

Adding to 2220200020 its reverse (200020222), we get a palindrome (2420220242).

The spelling of 2220200020 in words is "two billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 97 103 164 194 205 206 271 388 410 412 485 515 542 820 970 1030 1084 1355 1940 2060 2710 3977 4223 5420 7954 8446 9991 11111 15908 16892 19885 19982 21115 22222 26287 27913 39770 39964 42230 44444 49955 52574 55555 55826 79540 84460 99910 105148 111110 111652 131435 139565 199820 222220 262870 279130 409631 525740 558260 819262 1077767 1144433 1638524 2048155 2155534 2288866 2707561 4096310 4311068 4577732 5388835 5415122 5722165 8192620 10777670 10830244 11444330 13537805 21555340 22888660 27075610 54151220 111010001 222020002 444040004 555050005 1110100010 2220200020