Search a number
-
+
200043500240 = 24517461319069
BaseRepresentation
bin1011101001001110000…
…1011001001011010000
3201010100101010201121102
42322103201121023100
511234142114001430
6231522042243532
720311156460603
oct2722341311320
9633311121542
10200043500240
1177924382611
123292a1b65a8
1315b3033cc6c
149979ba633a
15530c1b8345
hex2e938592d0

200043500240 has 80 divisors (see below), whose sum is σ = 493529818320. Its totient is φ = 75146895360.

The previous prime is 200043500221. The next prime is 200043500243. The reversal of 200043500240 is 42005340002.

It can be written as a sum of positive squares in 8 ways, for example, as 10877655616 + 189165844624 = 104296^2 + 434932^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200043500243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467426 + ... + 786494.

It is an arithmetic number, because the mean of its divisors is an integer number (6169122729).

Almost surely, 2200043500240 is an apocalyptic number.

200043500240 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 200043500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246764909160).

200043500240 is an abundant number, since it is smaller than the sum of its proper divisors (293486318080).

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

200043500240 is a wasteful number, since it uses less digits than its factorization.

200043500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319560 (or 319554 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 200043500240 its reverse (42005340002), we get a palindrome (242048840242).

The spelling of 200043500240 in words is "two hundred billion, forty-three million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 461 680 922 1360 1844 2305 3688 4610 7376 7837 9220 15674 18440 31348 36880 39185 62696 78370 125392 156740 313480 319069 626960 638138 1276276 1595345 2552552 3190690 5105104 5424173 6381380 10848346 12762760 21696692 25525520 27120865 43393384 54241730 86786768 108483460 147090809 216966920 294181618 433933840 588363236 735454045 1176726472 1470908090 2353452944 2500543753 2941816180 5001087506 5883632360 10002175012 11767264720 12502718765 20004350024 25005437530 40008700048 50010875060 100021750120 200043500240