Search a number
-
+
3338892216 = 2332114215773
BaseRepresentation
bin1100011100000011…
…0111001110111000
322121200201022001200
43013000313032320
523314224022331
61311152014200
7145512054432
oct30700671670
98550638050
103338892216
111463799160
12792231360
1341297b88a
14239621652
151481d65e6
hexc70373b8

3338892216 has 48 divisors (see below), whose sum is σ = 9864911160. Its totient is φ = 1011785280.

The previous prime is 3338892143. The next prime is 3338892217. The reversal of 3338892216 is 6122988333.

3338892216 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 2×33388922162 = 22296402460130781312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338892217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2107095 + ... + 2108678.

Almost surely, 23338892216 is an apocalyptic number.

3338892216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3338892216 is an abundant number, since it is smaller than the sum of its proper divisors (6526018944).

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

3338892216 is a wasteful number, since it uses less digits than its factorization.

3338892216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215796 (or 4215789 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3338892216 is about 57783.1482008379. The cubic root of 3338892216 is about 1494.6315077829.

The spelling of 3338892216 in words is "three billion, three hundred thirty-eight million, eight hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4215773 8431546 12647319 16863092 25294638 33726184 37941957 46373503 50589276 75883914 92747006 101178552 139120509 151767828 185494012 278241018 303535656 370988024 417361527 556482036 834723054 1112964072 1669446108 3338892216