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11819223 = 3313151223
BaseRepresentation
bin101101000101…
…100011010111
3211020110221000
4231011203113
511011203343
61101154343
7202314243
oct55054327
924213830
1011819223
116742a59
123b5b9b3
1325aa930
1417d9423
151086ed3
hexb458d7

11819223 has 32 divisors (see below), whose sum is σ = 19066880. Its totient is φ = 7192800.

The previous prime is 11819189. The next prime is 11819237. The reversal of 11819223 is 32291811.

It is not a de Polignac number, because 11819223 - 210 = 11818199 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11819623) 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 31 ways as a sum of consecutive naturals, for example, 52890 + ... + 53112.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 211819223 is an apocalyptic number.

11819223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11819223 is a deficient number, since it is larger than the sum of its proper divisors (7247657).

11819223 is a wasteful number, since it uses less digits than its factorization.

11819223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11819223 is about 3437.9096846776. The cubic root of 11819223 is about 227.7873710195.

It can be divided in two parts, 1181 and 9223, that added together give a square (10404 = 1022).

The spelling of 11819223 in words is "eleven million, eight hundred nineteen thousand, two hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 151 223 351 453 669 1359 1963 2007 2899 4077 5889 6021 8697 17667 26091 33673 53001 78273 101019 303057 437749 909171 1313247 3939741 11819223