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225912420 = 223251255069
BaseRepresentation
bin11010111011100…
…10011001100100
3120202002112120200
431131302121210
5430313144140
634230030500
75412136536
oct1535623144
9522075520
10225912420
11106581388
12637a8430
1337a5a8b6
1422009856
1514c77030
hexd772664

225912420 has 36 divisors (see below), whose sum is σ = 685268220. Its totient is φ = 60243264.

The previous prime is 225912383. The next prime is 225912431. The reversal of 225912420 is 24219522.

It is a happy number.

225912420 is a `hidden beast` number, since 225 + 9 + 12 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75064896 + 150847524 = 8664^2 + 12282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627355 + ... + 627714.

Almost surely, 2225912420 is an apocalyptic number.

225912420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225912420 is an abundant number, since it is smaller than the sum of its proper divisors (459355800).

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

225912420 is a wasteful number, since it uses less digits than its factorization.

225912420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255084 (or 1255079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225912420 is about 15030.3832286472. The cubic root of 225912420 is about 609.0412422424.

The spelling of 225912420 in words is "two hundred twenty-five million, nine hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1255069 2510138 3765207 5020276 6275345 7530414 11295621 12550690 15060828 18826035 22591242 25101380 37652070 45182484 56478105 75304140 112956210 225912420