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420431229 = 3442112329
BaseRepresentation
bin11001000011110…
…100010101111101
31002022010010020000
4121003310111331
51330112244404
6105415144513
713263415011
oct3103642575
91068103200
10420431229
111a6360229
12b8975139
136914609a
143dba2541
1526d9c339
hex190f457d

420431229 has 20 divisors (see below), whose sum is σ = 629594460. Its totient is φ = 279599040.

The previous prime is 420431201. The next prime is 420431239. The reversal of 420431229 is 922134024.

420431229 is a `hidden beast` number, since 4 + 2 + 0 + 431 + 229 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1205604 + 419225625 = 1098^2 + 20475^2 .

It is not a de Polignac number, because 420431229 - 25 = 420431197 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420431239) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27937 + ... + 40265.

It is an arithmetic number, because the mean of its divisors is an integer number (31479723).

Almost surely, 2420431229 is an apocalyptic number.

It is an amenable number.

420431229 is a deficient number, since it is larger than the sum of its proper divisors (209163231).

420431229 is a wasteful number, since it uses less digits than its factorization.

420431229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12762 (or 12753 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420431229 is about 20504.4197430700. The cubic root of 420431229 is about 749.1434541447.

It can be divided in two parts, 420 and 431229, that added together give a square (431649 = 6572).

The spelling of 420431229 in words is "four hundred twenty million, four hundred thirty-one thousand, two hundred twenty-nine".

Divisors: 1 3 9 27 81 421 1263 3789 11367 12329 34101 36987 110961 332883 998649 5190509 15571527 46714581 140143743 420431229