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3315213216 = 253271644451
BaseRepresentation
bin1100010110011010…
…0010001110100000
322120001011021120200
43011212202032200
523242143310331
61304544305200
7145103563440
oct30546421640
98501137520
103315213216
111451395837
12786312200
1340aaaaa33
1423641a120
151460aa5e6
hexc59a23a0

3315213216 has 72 divisors (see below), whose sum is σ = 10774449504. Its totient is φ = 947203200.

The previous prime is 3315213203. The next prime is 3315213217. The reversal of 3315213216 is 6123125133.

3315213216 is a `hidden beast` number, since 3 + 315 + 21 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3315213216.

It is not an unprimeable number, because it can be changed into a prime (3315213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820210 + ... + 824241.

It is an arithmetic number, because the mean of its divisors is an integer number (149645132).

Almost surely, 23315213216 is an apocalyptic number.

3315213216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3315213216 is an abundant number, since it is smaller than the sum of its proper divisors (7459236288).

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

3315213216 is a wasteful number, since it uses less digits than its factorization.

3315213216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644474 (or 1644463 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3315213216 is about 57577.8882558227. Note that the first 3 decimals coincide. The cubic root of 3315213216 is about 1491.0898765973.

Adding to 3315213216 its reverse (6123125133), we get a palindrome (9438338349).

The spelling of 3315213216 in words is "three billion, three hundred fifteen million, two hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1644451 3288902 4933353 6577804 9866706 11511157 13155608 14800059 19733412 23022314 26311216 29600118 34533471 39466824 46044628 52622432 59200236 69066942 78933648 92089256 103600413 118400472 138133884 157867296 184178512 207200826 236800944 276267768 368357024 414401652 473601888 552535536 828803304 1105071072 1657606608 3315213216