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216206540 = 225113726561
BaseRepresentation
bin11001110001100…
…00110011001100
3120001211102121122
430320300303030
5420322102130
633242020112
75233503524
oct1470606314
9501742548
10216206540
111010521a0
12604a7638
1335a3cb84
1420a00684
1513eab2e5
hexce30ccc

216206540 has 48 divisors (see below), whose sum is σ = 508715424. Its totient is φ = 76492800.

The previous prime is 216206539. The next prime is 216206569. The reversal of 216206540 is 45602612.

It is a zygodrome in base 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5141 + ... + 21420.

It is an arithmetic number, because the mean of its divisors is an integer number (10598238).

Almost surely, 2216206540 is an apocalyptic number.

216206540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216206540 is an abundant number, since it is smaller than the sum of its proper divisors (292508884).

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

216206540 is a wasteful number, since it uses less digits than its factorization.

216206540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26618 (or 26616 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 216206540 is about 14703.9634112711. The cubic root of 216206540 is about 600.1911798181.

The spelling of 216206540 in words is "two hundred sixteen million, two hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 26561 53122 106244 132805 265610 292171 531220 584342 982757 1168684 1460855 1965514 2921710 3931028 4913785 5843420 9827570 10810327 19655140 21620654 43241308 54051635 108103270 216206540