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420434223 = 311219471297
BaseRepresentation
bin11001000011110…
…101000100101111
31002022010021022220
4121003311010233
51330112343343
6105415210423
713263426516
oct3103650457
91068107286
10420434223
111a6362500
12b8976a13
1369147561
143dba367d
1526d9d183
hex190f512f

420434223 has 48 divisors (see below), whose sum is σ = 662914560. Its totient is φ = 236079360.

The previous prime is 420434207. The next prime is 420434249. The reversal of 420434223 is 322434024.

It is not a de Polignac number, because 420434223 - 24 = 420434207 is a prime.

It is a super-2 number, since 2×4204342232 = 353529871739227458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420434193 and 420434202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420434323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323511 + ... + 324807.

It is an arithmetic number, because the mean of its divisors is an integer number (13810720).

Almost surely, 2420434223 is an apocalyptic number.

420434223 is a deficient number, since it is larger than the sum of its proper divisors (242480337).

420434223 is a wasteful number, since it uses less digits than its factorization.

420434223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 420434223 is about 20504.4927515898. The cubic root of 420434223 is about 749.1452324222.

Adding to 420434223 its reverse (322434024), we get a palindrome (742868247).

The spelling of 420434223 in words is "four hundred twenty million, four hundred thirty-four thousand, two hundred twenty-three".

Divisors: 1 3 11 19 33 47 57 121 141 209 363 517 627 893 1297 1551 2299 2679 3891 5687 6897 9823 14267 17061 24643 29469 42801 60959 73929 108053 156937 182877 271073 324159 470811 670549 813219 1158221 2011647 2981803 3474663 7376039 8945409 12740431 22128117 38221293 140144741 420434223