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216716680 = 23517318701
BaseRepresentation
bin11001110101011…
…01010110001000
3120002210100101201
430322231112020
5420434413210
633300553544
75241030025
oct1472552610
9502710351
10216716680
111013704a4
12606b28b4
1335b8b12b
1420ad454c
151405c53a
hexcead588

216716680 has 32 divisors (see below), whose sum is σ = 516297240. Its totient is φ = 81587200.

The previous prime is 216716657. The next prime is 216716683. The reversal of 216716680 is 86617612.

216716680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198415396 + 18301284 = 14086^2 + 4278^2 .

It is a super-2 number, since 2×2167166802 = 93932238780444800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216716683) 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, 158671 + ... + 160030.

Almost surely, 2216716680 is an apocalyptic number.

216716680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216716680 is an abundant number, since it is smaller than the sum of its proper divisors (299580560).

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

216716680 is a wasteful number, since it uses less digits than its factorization.

216716680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318729 (or 318725 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 216716680 is about 14721.3002143153. The cubic root of 216716680 is about 600.6628600172.

The spelling of 216716680 in words is "two hundred sixteen million, seven hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 318701 637402 1274804 1593505 2549608 3187010 5417917 6374020 10835834 12748040 21671668 27089585 43343336 54179170 108358340 216716680