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234825216 = 293172232
BaseRepresentation
bin11011111111100…
…10011000000000
3121100212100122020
431333302120000
5440103401331
635145041440
75550660423
oct1577623000
9540770566
10234825216
1111060972a
1266786280
133985b642
14232899ba
1515937c96
hexdff2600

234825216 has 180 divisors, whose sum is σ = 694702932. Its totient is φ = 70467584.

The previous prime is 234825211. The next prime is 234825257. The reversal of 234825216 is 612528432.

234825216 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (23040) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234825211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10209781 + ... + 10209803.

Almost surely, 2234825216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347351466).

234825216 is an abundant number, since it is smaller than the sum of its proper divisors (459877716).

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

234825216 is an equidigital number, since it uses as much as digits as its factorization.

234825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 45 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 234825216 is about 15324.0078308516. The cubic root of 234825216 is about 616.9475494064.

The spelling of 234825216 in words is "two hundred thirty-four million, eight hundred twenty-five thousand, two hundred sixteen".