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225236928 = 2637289269
BaseRepresentation
bin11010110110011…
…01011111000000
3120200211012222110
431123031133000
5430130040203
634203335320
75403324300
oct1533153700
9520735873
10225236928
1110615a924
1263521540
13378822b7
1421cb1600
1514b91d03
hexd6cd7c0

225236928 has 168 divisors, whose sum is σ = 703630800. Its totient is φ = 63393792.

The previous prime is 225236867. The next prime is 225236933. The reversal of 225236928 is 829632522.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837178 + ... + 837446.

Almost surely, 2225236928 is an apocalyptic number.

225236928 is a gapful number since it is divisible by the number (28) 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 225236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351815400).

225236928 is an abundant number, since it is smaller than the sum of its proper divisors (478393872).

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

225236928 is a wasteful number, since it uses less digits than its factorization.

225236928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 225236928 is about 15007.8955220244. The cubic root of 225236928 is about 608.4336126592.

The spelling of 225236928 in words is "two hundred twenty-five million, two hundred thirty-six thousand, nine hundred twenty-eight".