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225436020 = 22353757267
BaseRepresentation
bin11010110111111…
…10000101110100
3120201012100002020
431123332011310
5430202423040
634211513140
75405113605
oct1533760564
9521170066
10225436020
11106286467
12635b87b0
1337921ac4
1421d23dac
1514bd0cd0
hexd6fe174

225436020 has 24 divisors (see below), whose sum is σ = 631221024. Its totient is φ = 60116256.

The previous prime is 225436019. The next prime is 225436063. The reversal of 225436020 is 20634522.

It is a super-2 number, since 2×2254360202 = 101642798226880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878574 + ... + 1878693.

It is an arithmetic number, because the mean of its divisors is an integer number (26300876).

Almost surely, 2225436020 is an apocalyptic number.

225436020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225436020 is an abundant number, since it is smaller than the sum of its proper divisors (405785004).

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

225436020 is a wasteful number, since it uses less digits than its factorization.

225436020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757279 (or 3757277 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 225436020 is about 15014.5269655757. The cubic root of 225436020 is about 608.6128292620.

The spelling of 225436020 in words is "two hundred twenty-five million, four hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3757267 7514534 11271801 15029068 18786335 22543602 37572670 45087204 56359005 75145340 112718010 225436020