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216414312 = 2339017263
BaseRepresentation
bin11001110011000…
…11100001101000
3120002012222121220
430321203201220
5420400224222
633250302040
75235330342
oct1471434150
9502188556
10216414312
11101184304
1260587920
1335ab360a
1420a56292
1513eecb5c
hexce63868

216414312 has 16 divisors (see below), whose sum is σ = 541035840. Its totient is φ = 72138096.

The previous prime is 216414271. The next prime is 216414329. The reversal of 216414312 is 213414612.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 9017263 = 216414312 / (2 + 1 + 6 + 4 + 1 + 4 + 3 + 1 + 2).

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 4508608 + ... + 4508655.

It is an arithmetic number, because the mean of its divisors is an integer number (33814740).

Almost surely, 2216414312 is an apocalyptic number.

It is an amenable number.

216414312 is an abundant number, since it is smaller than the sum of its proper divisors (324621528).

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

216414312 is a wasteful number, since it uses less digits than its factorization.

216414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9017272 (or 9017268 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 216414312 is about 14711.0268846196. The cubic root of 216414312 is about 600.3833772066.

Adding to 216414312 its reverse (213414612), we get a palindrome (429828924).

The spelling of 216414312 in words is "two hundred sixteen million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 9017263 18034526 27051789 36069052 54103578 72138104 108207156 216414312