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216226780 = 225711140407
BaseRepresentation
bin11001110001101…
…01101111011100
3120001212110101021
430320311233130
5420323224110
633242253524
75233616530
oct1470655734
9501773337
10216226780
11101066420
12604b72a4
1335a49153
1420a07bc0
1513eb22da
hexce35bdc

216226780 has 48 divisors (see below), whose sum is σ = 566125056. Its totient is φ = 67394880.

The previous prime is 216226741. The next prime is 216226781. The reversal of 216226780 is 87622612.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216226781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68664 + ... + 71743.

It is an arithmetic number, because the mean of its divisors is an integer number (11794272).

Almost surely, 2216226780 is an apocalyptic number.

216226780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216226780 is an abundant number, since it is smaller than the sum of its proper divisors (349898276).

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

216226780 is a wasteful number, since it uses less digits than its factorization.

216226780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140434 (or 140432 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 216226780 is about 14704.6516449728. The cubic root of 216226780 is about 600.2099080373.

The spelling of 216226780 in words is "two hundred sixteen million, two hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 140407 280814 561628 702035 982849 1404070 1544477 1965698 2808140 3088954 3931396 4914245 6177908 7722385 9828490 10811339 15444770 19656980 21622678 30889540 43245356 54056695 108113390 216226780