Search a number
-
+
2210020200 = 233452136421
BaseRepresentation
bin1000001110111010…
…0011101101101000
312201000112122210000
42003232203231220
514011231121300
61003144223000
7105523601403
oct20356435550
95630478700
102210020200
11a34553983
1251816aa60
13292b2c47b
1416d728d3a
15ce04ac00
hex83ba3b68

2210020200 has 120 divisors (see below), whose sum is σ = 7675783830. Its totient is φ = 589334400.

The previous prime is 2210020133. The next prime is 2210020201. The reversal of 2210020200 is 20200122.

2210020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1041611076 + 1168409124 = 32274^2 + 34182^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2210020201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 52011 + ... + 84410.

Almost surely, 22210020200 is an apocalyptic number.

2210020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210020200 is an abundant number, since it is smaller than the sum of its proper divisors (5465763630).

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

2210020200 is a wasteful number, since it uses less digits than its factorization.

2210020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136449 (or 136431 counting only the distinct ones).

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

The square root of 2210020200 is about 47010.8519386748. The cubic root of 2210020200 is about 1302.5630302916.

Adding to 2210020200 its reverse (20200122), we get a palindrome (2230220322).

The spelling of 2210020200 in words is "two billion, two hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 136421 272842 409263 545684 682105 818526 1091368 1227789 1364210 1637052 2046315 2455578 2728420 3274104 3410525 3683367 4092630 4911156 5456840 6138945 6821050 7366734 8185260 9822312 10231575 11050101 12277890 13642100 14733468 16370520 18416835 20463150 22100202 24555780 27284200 29466936 30694725 36833670 40926300 44200404 49111560 55250505 61389450 73667340 81852600 88400808 92084175 110501010 122778900 147334680 184168350 221002020 245557800 276252525 368336700 442004040 552505050 736673400 1105010100 2210020200