Search a number
-
+
200040020 = 22517253653
BaseRepresentation
bin10111110110001…
…01111001010100
3111221102002022122
423323011321110
5402202240040
631503315112
74646212025
oct1373057124
9457362278
10200040020
11a2a10034
1256baba98
133259c59b
141c7d2c4c
15128661b5
hexbec5e54

200040020 has 72 divisors (see below), whose sum is σ = 455364504. Its totient is φ = 73775104.

The previous prime is 200040011. The next prime is 200040041. The reversal of 200040020 is 20040002.

It can be written as a sum of positive squares in 12 ways, for example, as 7496644 + 192543376 = 2738^2 + 13876^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306014 + ... + 306666.

It is an arithmetic number, because the mean of its divisors is an integer number (6324507).

Almost surely, 2200040020 is an apocalyptic number.

200040020 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 200040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227682252).

200040020 is an abundant number, since it is smaller than the sum of its proper divisors (255324484).

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

200040020 is a wasteful number, since it uses less digits than its factorization.

200040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 200040020 is about 14143.5504736258. The cubic root of 200040020 is about 584.8425514378.

Adding to 200040020 its reverse (20040002), we get a palindrome (220080022).

The spelling of 200040020 in words is "two hundred million, forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 289 340 530 578 653 901 1060 1156 1306 1445 1802 2612 2890 3265 3604 4505 5780 6530 9010 11101 13060 15317 18020 22202 30634 34609 44404 55505 61268 69218 76585 111010 138436 153170 173045 188717 222020 306340 346090 377434 588353 692180 754868 943585 1176706 1887170 2353412 2941765 3774340 5883530 10002001 11767060 20004002 40008004 50010005 100020010 200040020