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216426780 = 223252361857
BaseRepresentation
bin11001110011001…
…10100100011100
3120002020121201200
430321212210130
5420401124110
633250435500
75235411603
oct1471464434
9502217650
10216426780
11101192709
1260592b90
1335ab91ab
1420a5aa3a
15140016c0
hexce6691c

216426780 has 144 divisors (see below), whose sum is σ = 697080384. Its totient is φ = 54236160.

The previous prime is 216426767. The next prime is 216426781. The reversal of 216426780 is 87624612.

216426780 is a `hidden beast` number, since 2 + 1 + 642 + 6 + 7 + 8 + 0 = 666.

216426780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2164267802 = 93681102202336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216426781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252112 + ... + 252968.

It is an arithmetic number, because the mean of its divisors is an integer number (4840836).

Almost surely, 2216426780 is an apocalyptic number.

216426780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216426780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348540192).

216426780 is an abundant number, since it is smaller than the sum of its proper divisors (480653604).

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

216426780 is a wasteful number, since it uses less digits than its factorization.

216426780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 216426780 is about 14711.4506422718. The cubic root of 216426780 is about 600.3949066908.

The spelling of 216426780 in words is "two hundred sixteen million, four hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 61 69 90 92 115 122 138 180 183 207 230 244 276 305 345 366 414 460 549 610 690 732 828 857 915 1035 1098 1220 1380 1403 1714 1830 2070 2196 2571 2745 2806 3428 3660 4140 4209 4285 5142 5490 5612 7015 7713 8418 8570 10284 10980 12627 12855 14030 15426 16836 17140 19711 21045 25254 25710 28060 30852 38565 39422 42090 50508 51420 52277 59133 63135 77130 78844 84180 98555 104554 118266 126270 154260 156831 177399 197110 209108 236532 252540 261385 295665 313662 354798 394220 470493 522770 591330 627324 709596 784155 886995 940986 1045540 1182660 1202371 1568310 1773990 1881972 2352465 2404742 3136620 3547980 3607113 4704930 4809484 6011855 7214226 9409860 10821339 12023710 14428452 18035565 21642678 24047420 36071130 43285356 54106695 72142260 108213390 216426780