Search a number
-
+
200020001220 = 223251385478633
BaseRepresentation
bin1011101001001000011…
…1110000000111000100
3201010021201220212000100
42322102013300013010
511234120110014340
6231515442444100
720310452646414
oct2722207600704
9633251825010
10200020001220
1177912092436
1232922363630
1315b28503010
149976a0a644
15530a0c5830
hex2e921f01c4

200020001220 has 72 divisors (see below), whose sum is σ = 653398678296. Its totient is φ = 49235692032.

The previous prime is 200020001189. The next prime is 200020001221. The reversal of 200020001220 is 22100020002.

It can be written as a sum of positive squares in 4 ways, for example, as 945193536 + 199074807684 = 30744^2 + 446178^2 .

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 (200020001221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42736977 + ... + 42741656.

It is an arithmetic number, because the mean of its divisors is an integer number (9074981643).

Almost surely, 2200020001220 is an apocalyptic number.

200020001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200020001220 is an abundant number, since it is smaller than the sum of its proper divisors (453378677076).

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

200020001220 is a wasteful number, since it uses less digits than its factorization.

200020001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85478661 (or 85478656 counting only the distinct ones).

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

Adding to 200020001220 its reverse (22100020002), we get a palindrome (222120021222).

The spelling of 200020001220 in words is "two hundred billion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 85478633 170957266 256435899 341914532 427393165 512871798 769307697 854786330 1025743596 1111222229 1282179495 1538615394 1709572660 2222444458 2564358990 3077230788 3333666687 3846538485 4444888916 5128717980 5556111145 6667333374 7693076970 10001000061 11112222290 13334666748 15386153940 16668333435 20002000122 22224444580 33336666870 40004000244 50005000305 66673333740 100010000610 200020001220