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420500223 = 321113241613
BaseRepresentation
bin11001000100000…
…101001011111111
31002022020121212100
4121010011023333
51330122001343
6105420440143
713264123113
oct3104051377
91068217770
10420500223
111a63a8050
12b89a9053
136916b600
143dbbd743
1526db29d3
hex191052ff

420500223 has 72 divisors (see below), whose sum is σ = 736195824. Its totient is φ = 229132800.

The previous prime is 420500207. The next prime is 420500231. The reversal of 420500223 is 322005024.

It is not a de Polignac number, because 420500223 - 24 = 420500207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420500196 and 420500205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420500323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 685665 + ... + 686277.

It is an arithmetic number, because the mean of its divisors is an integer number (10224942).

Almost surely, 2420500223 is an apocalyptic number.

420500223 is a deficient number, since it is larger than the sum of its proper divisors (315695601).

420500223 is a wasteful number, since it uses less digits than its factorization.

420500223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 420500223 is about 20506.1020918165. The cubic root of 420500223 is about 749.1844307839.

Adding to 420500223 its reverse (322005024), we get a palindrome (742505247).

The spelling of 420500223 in words is "four hundred twenty million, five hundred thousand, two hundred twenty-three".

Divisors: 1 3 9 11 13 33 39 41 99 117 123 143 169 369 429 451 507 533 613 1287 1353 1521 1599 1839 1859 4059 4797 5517 5577 5863 6743 6929 7969 16731 17589 20229 20787 23907 25133 52767 60687 62361 71721 75399 76219 87659 103597 226197 228657 262977 276463 310791 326729 685971 788931 829389 932373 980187 1139567 2488167 2940561 3418701 3594019 4247477 10256103 10782057 12742431 32346171 38227293 46722247 140166741 420500223