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223223240131040 = 2553043494584031
BaseRepresentation
bin110010110000010100110101…
…111011110000000111100000
31002021100221012102001111121202
4302300110311323300013200
5213224242143433143130
62110431201341540332
765006226661366562
oct6260246573600740
91067327172044552
10223223240131040
11651424986aa726
12210521ab5746a8
139772b271494b6
143d1a0c35b5332
151ac1837033145
hexcb0535ef01e0

223223240131040 has 48 divisors (see below), whose sum is σ = 527366752617600. Its totient is φ = 89288983196160.

The previous prime is 223223240131033. The next prime is 223223240131061. The reversal of 223223240131040 is 40131042322322.

It is a super-3 number, since 3×2232232401310403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223223240130994 and 223223240131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46403825 + ... + 50987855.

It is an arithmetic number, because the mean of its divisors is an integer number (10986807346200).

Almost surely, 2223223240131040 is an apocalyptic number.

223223240131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223223240131040 is an abundant number, since it is smaller than the sum of its proper divisors (304143512486560).

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

223223240131040 is a wasteful number, since it uses less digits than its factorization.

223223240131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888395 (or 4888387 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 223223240131040 its reverse (40131042322322), we get a palindrome (263354282453362).

The spelling of 223223240131040 in words is "two hundred twenty-three trillion, two hundred twenty-three billion, two hundred forty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 304349 608698 1217396 1521745 2434792 3043490 4584031 4869584 6086980 9168062 9739168 12173960 18336124 22920155 24347920 36672248 45840310 48695840 73344496 91680620 146688992 183361240 366722480 733444960 1395145250819 2790290501638 5580581003276 6975726254095 11161162006552 13951452508190 22322324013104 27902905016380 44644648026208 55805810032760 111611620065520 223223240131040