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419225625 = 345472132
BaseRepresentation
bin11000111111001…
…110000000011001
31002012211212110000
4120333032000121
51324310210000
6105333243213
713250234100
oct3077160031
91065755400
10419225625
111a5707465
12b8493509
1368b13400
143d96b037
1526c10000
hex18fce019

419225625 has 225 divisors, whose sum is σ = 985739931. Its totient is φ = 176904000.

The previous prime is 419225581. The next prime is 419225657. The reversal of 419225625 is 526522914.

The square root of 419225625 is 20475.

It is a perfect power (a square), and thus also a powerful number.

419225625 is a `hidden beast` number, since 4 + 1 + 9 + 2 + 25 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 414081801 + 5143824 = 20349^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 419225625 - 27 = 419225497 is a prime.

Its product of digits (43200) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 419225625.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 32248119 + ... + 32248131.

Almost surely, 2419225625 is an apocalyptic number.

419225625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

419225625 is the 20475-th square number.

419225625 is the 10238-th centered octagonal number.

It is an amenable number.

419225625 is an abundant number, since it is smaller than the sum of its proper divisors (566514306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

419225625 is an equidigital number, since it uses as much as digits as its factorization.

419225625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The cubic root of 419225625 is about 748.4267019521.

Multiplying 419225625 by its sum of digits (36), we get a square (15092122500 = 1228502).

The spelling of 419225625 in words is "four hundred nineteen million, two hundred twenty-five thousand, six hundred twenty-five".