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216112116 = 223113744249
BaseRepresentation
bin11001110000110…
…01101111110100
3120001122122002110
430320121233310
5420311041431
633240011020
75232631323
oct1470315764
9501578073
10216112116
11100a98260
1260460a70
1335a08bbc
14209b80ba
1513e8d346
hexce19bf4

216112116 has 48 divisors (see below), whose sum is σ = 564984000. Its totient is φ = 63717120.

The previous prime is 216112093. The next prime is 216112121. The reversal of 216112116 is 611211612.

216112116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216112092 and 216112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17241 + ... + 27008.

It is an arithmetic number, because the mean of its divisors is an integer number (11770500).

Almost surely, 2216112116 is an apocalyptic number.

It is an amenable number.

216112116 is an abundant number, since it is smaller than the sum of its proper divisors (348871884).

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

216112116 is a wasteful number, since it uses less digits than its factorization.

216112116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44304 (or 44302 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 216112116 is about 14700.7522256516. The cubic root of 216112116 is about 600.1037931550.

Adding to 216112116 its reverse (611211612), we get a palindrome (827323728).

The spelling of 216112116 in words is "two hundred sixteen million, one hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 44249 88498 132747 176996 265494 486739 530988 973478 1460217 1637213 1946956 2920434 3274426 4911639 5840868 6548852 9823278 18009343 19646556 36018686 54028029 72037372 108056058 216112116