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420401223 = 321113033259
BaseRepresentation
bin11001000011101…
…101000001000111
31002022001121001200
4121003231001013
51330110314343
6105414353543
713263231354
oct3103550107
91068047050
10420401223
111a633a730
12b895b8b3
1369135528
143db9562b
1526d934d3
hex190ed047

420401223 has 24 divisors (see below), whose sum is σ = 663162240. Its totient is φ = 254514960.

The previous prime is 420401207. The next prime is 420401227. The reversal of 420401223 is 322104024.

420401223 is a `hidden beast` number, since 42 + 0 + 401 + 223 = 666.

It is not a de Polignac number, because 420401223 - 24 = 420401207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420401196 and 420401205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420401227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127368 + ... + 130626.

It is an arithmetic number, because the mean of its divisors is an integer number (27631760).

Almost surely, 2420401223 is an apocalyptic number.

420401223 is a deficient number, since it is larger than the sum of its proper divisors (242761017).

420401223 is a wasteful number, since it uses less digits than its factorization.

420401223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4576 counting only the distinct ones).

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

The square root of 420401223 is about 20503.6880341074. The cubic root of 420401223 is about 749.1256317029.

Adding to 420401223 its reverse (322104024), we get a palindrome (742505247).

The spelling of 420401223 in words is "four hundred twenty million, four hundred one thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 99 1303 3259 3909 9777 11727 14333 29331 35849 42999 107547 128997 322641 4246477 12739431 38218293 46711247 140133741 420401223