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223144214302112 = 2583251334721677
BaseRepresentation
bin110010101111001011001111…
…101000001000110110100000
31002021002101012222000110002212
4302233023033220020312200
5213221443322330131422
62110331011544101252
765000431436052065
oct6257131750106640
91067071188013085
10223144214302112
1165111a25685804
122103aa15a64828
139768541aaa28c
143d16347d82c6c
151abe75e3429e2
hexcaf2cfa08da0

223144214302112 has 48 divisors (see below), whose sum is σ = 446379474233952. Its totient is φ = 109788709728000.

The previous prime is 223144214302081. The next prime is 223144214302117. The reversal of 223144214302112 is 211203412441322.

It is a super-3 number, since 3×2231442143021123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (223144214302117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166694183 + ... + 168027494.

It is an arithmetic number, because the mean of its divisors is an integer number (9299572379874).

Almost surely, 2223144214302112 is an apocalyptic number.

It is an amenable number.

223144214302112 is an abundant number, since it is smaller than the sum of its proper divisors (223235259931840).

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

223144214302112 is a wasteful number, since it uses less digits than its factorization.

223144214302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334722021 (or 334722013 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 223144214302112 its reverse (211203412441322), we get a palindrome (434347626743434).

The spelling of 223144214302112 in words is "two hundred twenty-three trillion, one hundred forty-four billion, two hundred fourteen million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 83 166 251 332 502 664 1004 1328 2008 2656 4016 8032 20833 41666 83332 166664 333328 666656 334721677 669443354 1338886708 2677773416 5355546832 10711093664 27781899191 55563798382 84015140927 111127596764 168030281854 222255193528 336060563708 444510387056 672121127416 889020774112 1344242254832 2688484509664 6973256696941 13946513393882 27893026787764 55786053575528 111572107151056 223144214302112