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11322216 = 2332157253
BaseRepresentation
bin101011001100…
…001101101000
3210022020011100
4223030031220
510344302331
61042401400
7165144243
oct53141550
923266140
1011322216
116433604
123960260
132465649
14170a25a
15ed9ae6
hexacc368

11322216 has 24 divisors (see below), whose sum is σ = 30664530. Its totient is φ = 3774048.

The previous prime is 11322211. The next prime is 11322217. The reversal of 11322216 is 61222311.

It can be written as a sum of positive squares in only one way, i.e., 11249316 + 72900 = 3354^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (11322211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78555 + ... + 78698.

Almost surely, 211322216 is an apocalyptic number.

It is an amenable number.

11322216 is an abundant number, since it is smaller than the sum of its proper divisors (19342314).

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

11322216 is a wasteful number, since it uses less digits than its factorization.

11322216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157265 (or 157258 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 11322216 is about 3364.8500709541. The cubic root of 11322216 is about 224.5486656303.

Adding to 11322216 its reverse (61222311), we get a palindrome (72544527).

The spelling of 11322216 in words is "eleven million, three hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157253 314506 471759 629012 943518 1258024 1415277 1887036 2830554 3774072 5661108 11322216