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216305420 = 22517236277
BaseRepresentation
bin11001110010010…
…00111100001100
3120002000110020212
430321020330030
5420333233140
633244101552
75234365022
oct1471107414
9502013225
10216305420
1110110a511
12605348b8
1335a75b96
1420a28712
1513eca765
hexce48f0c

216305420 has 24 divisors (see below), whose sum is σ = 454577424. Its totient is φ = 86458176.

The previous prime is 216305407. The next prime is 216305423. The reversal of 216305420 is 24503612.

It is not an unprimeable number, because it can be changed into a prime (216305423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31322 + ... + 37598.

It is an arithmetic number, because the mean of its divisors is an integer number (18940726).

Almost surely, 2216305420 is an apocalyptic number.

216305420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216305420 is an abundant number, since it is smaller than the sum of its proper divisors (238272004).

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

216305420 is a wasteful number, since it uses less digits than its factorization.

216305420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 216305420 is about 14707.3253856709. The cubic root of 216305420 is about 600.2826631113.

The spelling of 216305420 in words is "two hundred sixteen million, three hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1723 3446 6277 6892 8615 12554 17230 25108 31385 34460 62770 125540 10815271 21630542 43261084 54076355 108152710 216305420