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216416375 = 5371714549
BaseRepresentation
bin11001110011001…
…00000001110111
3120002020002110022
430321210001313
5420400311000
633250315355
75235336350
oct1471440167
9502202408
10216416375
1110118590a
1260588b5b
1335ab4536
1420a56d27
1513eed585
hexce64077

216416375 has 32 divisors (see below), whose sum is σ = 326851200. Its totient is φ = 139660800.

The previous prime is 216416353. The next prime is 216416383. The reversal of 216416375 is 573614612.

216416375 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 216416375 - 210 = 216415351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7601 + ... + 22149.

It is an arithmetic number, because the mean of its divisors is an integer number (10214100).

Almost surely, 2216416375 is an apocalyptic number.

216416375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216416375 is a deficient number, since it is larger than the sum of its proper divisors (110434825).

216416375 is a wasteful number, since it uses less digits than its factorization.

216416375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14588 (or 14578 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 216416375 is about 14711.0970019234. The cubic root of 216416375 is about 600.3852849470.

The spelling of 216416375 in words is "two hundred sixteen million, four hundred sixteen thousand, three hundred seventy-five".

Divisors: 1 5 7 17 25 35 85 119 125 175 425 595 875 2125 2975 14549 14875 72745 101843 247333 363725 509215 1236665 1731331 1818625 2546075 6183325 8656655 12730375 30916625 43283275 216416375