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203221040040 = 233252089927011
BaseRepresentation
bin1011110101000011101…
…0101111101110101000
3201102112211020110202200
42331100322233232220
511312144041240130
6233205232100200
720453002224204
oct2752072575650
9642484213680
10203221040040
1179204a85267
1233476394660
1316218746625
149b9bbc5b04
15544612b760
hex2f50eafba8

203221040040 has 96 divisors (see below), whose sum is σ = 660524436000. Its totient is φ = 54187678080.

The previous prime is 203221040021. The next prime is 203221040083. The reversal of 203221040040 is 40040122302.

203221040040 is a `hidden beast` number, since 2 + 0 + 3 + 221 + 0 + 400 + 40 = 666.

203221040040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2032210400402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203221039995 and 203221040022.

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, 7510135 + ... + 7537145.

It is an arithmetic number, because the mean of its divisors is an integer number (6880462875).

Almost surely, 2203221040040 is an apocalyptic number.

203221040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203221040040 is an abundant number, since it is smaller than the sum of its proper divisors (457303395960).

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

203221040040 is a wasteful number, since it uses less digits than its factorization.

203221040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47927 (or 47920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 203221040040 its reverse (40040122302), we get a palindrome (243261162342).

The spelling of 203221040040 in words is "two hundred three billion, two hundred twenty-one million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 20899 27011 41798 54022 62697 81033 83596 104495 108044 125394 135055 162066 167192 188091 208990 216088 243099 250788 270110 313485 324132 376182 405165 417980 486198 501576 540220 626970 648264 752364 810330 835960 940455 972396 1080440 1215495 1253940 1504728 1620660 1880910 1944792 2430990 2507880 3241320 3761820 4861980 7523640 9723960 564502889 1129005778 1693508667 2258011556 2822514445 3387017334 4516023112 5080526001 5645028890 6774034668 8467543335 10161052002 11290057780 13548069336 16935086670 20322104004 22580115560 25402630005 33870173340 40644208008 50805260010 67740346680 101610520020 203221040040