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420885225 = 32521870601
BaseRepresentation
bin11001000101100…
…011001011101001
31002022222011222200
4121011203023221
51330221311400
6105433010413
713300315425
oct3105431351
91068864880
10420885225
111a6640332
12b8b53a09
1369274917
143dc7db85
1526e3bb00
hex191632e9

420885225 has 18 divisors (see below), whose sum is σ = 753852606. Its totient is φ = 224472000.

The previous prime is 420885221. The next prime is 420885229. The reversal of 420885225 is 522588024.

420885225 is a `hidden beast` number, since 420 + 8 + 8 + 5 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (420885221) and next prime (420885229).

It can be written as a sum of positive squares in 3 ways, for example, as 53626329 + 367258896 = 7323^2 + 19164^2 .

It is not a de Polignac number, because 420885225 - 22 = 420885221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420885225.

It is not an unprimeable number, because it can be changed into a prime (420885221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 935076 + ... + 935525.

Almost surely, 2420885225 is an apocalyptic number.

420885225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420885225 is a deficient number, since it is larger than the sum of its proper divisors (332967381).

420885225 is a wasteful number, since it uses less digits than its factorization.

420885225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870617 (or 1870609 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 420885225 is about 20515.4874424177. The cubic root of 420885225 is about 749.4130073727.

The spelling of 420885225 in words is "four hundred twenty million, eight hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1870601 5611803 9353005 16835409 28059015 46765025 84177045 140295075 420885225