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200011253200 = 245211156729009
BaseRepresentation
bin1011101001000110011…
…0011000010111010000
3201010021010110101222121
42322101212120113100
511234110340100300
6231514531144024
720310315413113
oct2722146302720
9633233411877
10200011253200
1177908157970
123291b445014
1315b2675c285
1499757b057a
15530944881a
hex2e919985d0

200011253200 has 120 divisors (see below), whose sum is σ = 524563925760. Its totient is φ = 72682444800.

The previous prime is 200011253177. The next prime is 200011253207. The reversal of 200011253200 is 2352110002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200011253207) 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 23 ways as a sum of consecutive naturals, for example, 6880296 + ... + 6909304.

It is an arithmetic number, because the mean of its divisors is an integer number (4371366048).

Almost surely, 2200011253200 is an apocalyptic number.

200011253200 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 200011253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262281962880).

200011253200 is an abundant number, since it is smaller than the sum of its proper divisors (324552672560).

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

200011253200 is a wasteful number, since it uses less digits than its factorization.

200011253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30605 (or 30594 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 200011253200 its reverse (2352110002), we get a palindrome (202363363202).

The spelling of 200011253200 in words is "two hundred billion, eleven million, two hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1567 2200 3134 4400 6268 7835 12536 15670 17237 25072 29009 31340 34474 39175 58018 62680 68948 78350 86185 116036 125360 137896 145045 156700 172370 232072 275792 290090 313400 319099 344740 430925 464144 580180 626800 638198 689480 725225 861850 1160360 1276396 1378960 1450450 1595495 1723700 2320720 2552792 2900900 3190990 3447400 5105584 5801800 6381980 6894800 7977475 11603600 12763960 15954950 25527920 31909900 45457103 63819800 90914206 127639600 181828412 227285515 363656824 454571030 500028133 727313648 909142060 1000056266 1136427575 1818284120 2000112532 2272855150 2500140665 3636568240 4000225064 4545710300 5000281330 8000450128 9091420600 10000562660 12500703325 18182841200 20001125320 25001406650 40002250640 50002813300 100005626600 200011253200