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214330403232 = 2532112319315241
BaseRepresentation
bin1100011110011100010…
…1100110100110100000
3202111020001110121002200
43013213011212212200
512002422040400412
6242243444213200
721325210240161
oct3074705464640
9674201417080
10214330403232
1182995a1a260
123565699a200
131729921250a
14a533403768
1558965be9dc
hex31e71669a0

214330403232 has 288 divisors, whose sum is σ = 697461238656. Its totient is φ = 61798809600.

The previous prime is 214330403201. The next prime is 214330403249. The reversal of 214330403232 is 232304033412.

214330403232 is a `hidden beast` number, since 2 + 1 + 4 + 330 + 4 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 214330403196 and 214330403205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14055132 + ... + 14070372.

It is an arithmetic number, because the mean of its divisors is an integer number (2421740412).

Almost surely, 2214330403232 is an apocalyptic number.

214330403232 is a gapful number since it is divisible by the number (22) 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 214330403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348730619328).

214330403232 is an abundant number, since it is smaller than the sum of its proper divisors (483130835424).

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

214330403232 is a wasteful number, since it uses less digits than its factorization.

214330403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 214330403232 its reverse (232304033412), we get a palindrome (446634436644).

The spelling of 214330403232 in words is "two hundred fourteen billion, three hundred thirty million, four hundred three thousand, two hundred thirty-two".