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216016668 = 223271376257
BaseRepresentation
bin11001110000000…
…10011100011100
3120001110210011100
430320002130130
5420300013133
633233553100
75232053130
oct1470023434
9501423140
10216016668
11100a3257a
1260415790
13359a461a
14209913c0
1513e6ee13
hexce0271c

216016668 has 72 divisors (see below), whose sum is σ = 628703712. Its totient is φ = 61258752.

The previous prime is 216016657. The next prime is 216016673. The reversal of 216016668 is 866610612.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31396 + ... + 37652.

It is an arithmetic number, because the mean of its divisors is an integer number (8731996).

Almost surely, 2216016668 is an apocalyptic number.

216016668 is a gapful number since it is divisible by the number (28) 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 216016668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314351856).

216016668 is an abundant number, since it is smaller than the sum of its proper divisors (412687044).

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

216016668 is a wasteful number, since it uses less digits than its factorization.

216016668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216016668 is about 14697.5055026355. The cubic root of 216016668 is about 600.0154329364.

The spelling of 216016668 in words is "two hundred sixteen million, sixteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 6257 8631 11508 12514 17262 18771 25028 34524 37542 43799 56313 75084 87598 112626 131397 175196 225252 262794 394191 525588 788382 857209 1576764 1714418 2571627 3428836 5143254 6000463 7714881 10286508 12000926 15429762 18001389 24001852 30859524 36002778 54004167 72005556 108008334 216016668