Search a number
-
+
222066432 = 283273281
BaseRepresentation
bin11010011110001…
…11011100000000
3120110212010212200
431033013130000
5423322111212
634011353200
75334351000
oct1517073400
9513763780
10222066432
11104394885
1262452800
1337012173
14216c8000
15147676dc
hexd3c7700

222066432 has 216 divisors, whose sum is σ = 749330400. Its totient is φ = 63221760.

The previous prime is 222066401. The next prime is 222066443. The reversal of 222066432 is 234660222.

222066432 is a `hidden beast` number, since 2 + 220 + 6 + 6 + 432 = 666.

222066432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222066396 and 222066405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790132 + ... + 790412.

Almost surely, 2222066432 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 222066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374665200).

222066432 is an abundant number, since it is smaller than the sum of its proper divisors (527263968).

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

222066432 is an equidigital number, since it uses as much as digits as its factorization.

222066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 222066432 is about 14901.8935709527. The cubic root of 222066432 is about 605.5652863771.

The spelling of 222066432 in words is "two hundred twenty-two million, sixty-six thousand, four hundred thirty-two".