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225423000 = 23345311223
BaseRepresentation
bin11010110111110…
…10111010011000
3120201011200020000
431123322322120
5430202014000
634211333000
75405030625
oct1533727230
9521150200
10225423000
11106277700
12635b1160
1337918bba
1421d1d34c
1514bcc000
hexd6fae98

225423000 has 480 divisors, whose sum is σ = 903782880. Its totient is φ = 52272000.

The previous prime is 225422987. The next prime is 225423001. The reversal of 225423000 is 324522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225423001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 9800989 + ... + 9801011.

It is an arithmetic number, because the mean of its divisors is an integer number (1882881).

Almost surely, 2225423000 is an apocalyptic number.

225423000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451891440).

225423000 is an abundant number, since it is smaller than the sum of its proper divisors (678359880).

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

225423000 is a wasteful number, since it uses less digits than its factorization.

225423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225423000 is about 15014.0933792221. The cubic root of 225423000 is about 608.6011122767.

Adding to 225423000 its reverse (324522), we get a palindrome (225747522).

The spelling of 225423000 in words is "two hundred twenty-five million, four hundred twenty-three thousand".