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216242431 = 1722357041
BaseRepresentation
bin11001110001110…
…01100011111111
3120001220020211221
430320321203333
5420324224211
633242454211
75234013256
oct1470714377
9501806757
10216242431
11101077159
1260504367
1335a53302
1420a0d79d
1513eb6c71
hexce398ff

216242431 has 8 divisors (see below), whose sum is σ = 229993344. Its totient is φ = 202606080.

The previous prime is 216242417. The next prime is 216242443. The reversal of 216242431 is 134242612.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-216242431 is a prime.

It is a super-3 number, since 3×2162424313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 216242396 and 216242405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216242461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24730 + ... + 32311.

It is an arithmetic number, because the mean of its divisors is an integer number (28749168).

Almost surely, 2216242431 is an apocalyptic number.

216242431 is a deficient number, since it is larger than the sum of its proper divisors (13750913).

216242431 is a wasteful number, since it uses less digits than its factorization.

216242431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57281.

The product of its digits is 2304, while the sum is 25.

The square root of 216242431 is about 14705.1838138801. The cubic root of 216242431 is about 600.2243892202.

The spelling of 216242431 in words is "two hundred sixteen million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 17 223 3791 57041 969697 12720143 216242431