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223457480438401 = 1121846756036681
BaseRepresentation
bin110010110011101110111111…
…101111100111001010000001
31002022012022211000112000200001
4302303232333233213022001
5213242111404443012101
62111130541020400001
765032161451221556
oct6263567757471201
91068168730460601
10223457480438401
1165222870201600
122108b6820a6001
13978bc4717cb71
143d27584d2aa2d
151ac79964c3901
hexcb3bbfbe7281

223457480438401 has 6 divisors (see below), whose sum is σ = 245618552878706. Its totient is φ = 203143164034800.

The previous prime is 223457480438377. The next prime is 223457480438417. The reversal of 223457480438401 is 104834084754322.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 221064828326001 + 2392652112400 = 14868249^2 + 1546820^2 .

It is not a de Polignac number, because 223457480438401 - 25 = 223457480438369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223457480438431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 923378018220 + ... + 923378018461.

Almost surely, 2223457480438401 is an apocalyptic number.

It is an amenable number.

223457480438401 is a deficient number, since it is larger than the sum of its proper divisors (22161072440305).

223457480438401 is a wasteful number, since it uses less digits than its factorization.

223457480438401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846756036703 (or 1846756036692 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 55.

The spelling of 223457480438401 in words is "two hundred twenty-three trillion, four hundred fifty-seven billion, four hundred eighty million, four hundred thirty-eight thousand, four hundred one".

Divisors: 1 11 121 1846756036681 20314316403491 223457480438401