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420223527 = 321725710687
BaseRepresentation
bin11001000011000…
…001101000100111
31002021201120022100
4121003001220213
51330034123102
6105410503143
713261561323
oct3103015047
91067646270
10420223527
111a6229179
12b8894ab3
13690a2699
143db4a983
1526d5aa1c
hex190c1a27

420223527 has 24 divisors (see below), whose sum is σ = 645255936. Its totient is φ = 262619136.

The previous prime is 420223523. The next prime is 420223579. The reversal of 420223527 is 725322024.

420223527 is a `hidden beast` number, since 420 + 2 + 235 + 2 + 7 = 666.

It is not a de Polignac number, because 420223527 - 22 = 420223523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420223527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420223523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33978 + ... + 44664.

It is an arithmetic number, because the mean of its divisors is an integer number (26885664).

Almost surely, 2420223527 is an apocalyptic number.

420223527 is a deficient number, since it is larger than the sum of its proper divisors (225032409).

420223527 is a wasteful number, since it uses less digits than its factorization.

420223527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10967 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 420223527 is about 20499.3543069044. The cubic root of 420223527 is about 749.0200695393.

The spelling of 420223527 in words is "four hundred twenty million, two hundred twenty-three thousand, five hundred twenty-seven".

Divisors: 1 3 9 17 51 153 257 771 2313 4369 10687 13107 32061 39321 96183 181679 545037 1635111 2746559 8239677 24719031 46691503 140074509 420223527