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216517125 = 3531152489
BaseRepresentation
bin11001110011111…
…00101000000101
3120002102012122210
430321330220011
5420412022000
633252414033
75236236156
oct1471745005
9502365583
10216517125
11101244580
1260617319
1335b1b356
1420a8192d
151401d350
hexce7ca05

216517125 has 32 divisors (see below), whose sum is σ = 393045120. Its totient is φ = 104976000.

The previous prime is 216517123. The next prime is 216517159. The reversal of 216517125 is 521715612.

216517125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216517125 - 21 = 216517123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216517092 and 216517101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216517123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22120 + ... + 30369.

It is an arithmetic number, because the mean of its divisors is an integer number (12282660).

Almost surely, 2216517125 is an apocalyptic number.

216517125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216517125 is a deficient number, since it is larger than the sum of its proper divisors (176527995).

216517125 is a wasteful number, since it uses less digits than its factorization.

216517125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52518 (or 52508 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 216517125 is about 14714.5208892441. The cubic root of 216517125 is about 600.4784378384.

The spelling of 216517125 in words is "two hundred sixteen million, five hundred seventeen thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 125 165 275 375 825 1375 4125 52489 157467 262445 577379 787335 1312225 1732137 2886895 3936675 6561125 8660685 14434475 19683375 43303425 72172375 216517125