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201240223000 = 2353832778753
BaseRepresentation
bin1011101101101011011…
…0100001110100011000
3201020102202222112121121
42323122312201310120
511244114444114000
6232240512215024
720352630446335
oct2733266416430
9636382875547
10201240223000
1178388950093
1233002b3a474
1315c9125783b
149a50ac198c
15537c2a7b1a
hex2edada1d18

201240223000 has 128 divisors (see below), whose sum is σ = 478350774720. Its totient is φ = 79230105600.

The previous prime is 201240222973. The next prime is 201240223027. The reversal of 201240223000 is 322042102.

It is an interprime number because it is at equal distance from previous prime (201240222973) and next prime (201240223027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22986624 + ... + 22995376.

Almost surely, 2201240223000 is an apocalyptic number.

201240223000 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 201240223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239175387360).

201240223000 is an abundant number, since it is smaller than the sum of its proper divisors (277110551720).

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

201240223000 is a wasteful number, since it uses less digits than its factorization.

201240223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201240223000 its reverse (322042102), we get a palindrome (201562265102).

The spelling of 201240223000 in words is "two hundred one billion, two hundred forty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 277 332 415 500 554 664 830 1000 1108 1385 1660 2075 2216 2770 3320 4150 5540 6925 8300 8753 10375 11080 13850 16600 17506 20750 22991 27700 34625 35012 41500 43765 45982 55400 69250 70024 83000 87530 91964 114955 138500 175060 183928 218825 229910 277000 350120 437650 459820 574775 726499 875300 919640 1094125 1149550 1452998 1750600 2188250 2299100 2424581 2873875 2905996 3632495 4376500 4598200 4849162 5747750 5811992 7264990 8753000 9698324 11495500 12122905 14529980 18162475 19396648 22991000 24245810 29059960 36324950 48491620 60614525 72649900 90812375 96983240 121229050 145299800 181624750 201240223 242458100 303072625 363249500 402480446 484916200 606145250 726499000 804960892 1006201115 1212290500 1609921784 2012402230 2424581000 4024804460 5031005575 8049608920 10062011150 20124022300 25155027875 40248044600 50310055750 100620111500 201240223000