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666228192 = 25373131981
BaseRepresentation
bin100111101101011…
…101010111100000
31201102121220021020
4213231131113200
52331023300232
6150035325440
722336563150
oct4755352740
91642556236
10666228192
11312083113
12167150880
13a8046686
14646a6760
153d750e2c
hex27b5d5e0

666228192 has 96 divisors (see below), whose sum is σ = 2063222784. Its totient is φ = 184204800.

The previous prime is 666228191. The next prime is 666228203. The reversal of 666228192 is 291822666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666228191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4842 + ... + 36822.

It is an arithmetic number, because the mean of its divisors is an integer number (21491904).

Almost surely, 2666228192 is an apocalyptic number.

666228192 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031611392).

666228192 is an abundant number, since it is smaller than the sum of its proper divisors (1396994592).

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

666228192 is a wasteful number, since it uses less digits than its factorization.

666228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32032 (or 32024 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 666228192 is about 25811.3965526858. The cubic root of 666228192 is about 873.3889012808.

The spelling of 666228192 in words is "six hundred sixty-six million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 31981 63962 95943 127924 191886 223867 255848 383772 447734 511696 671601 767544 895468 991411 1023392 1343202 1535088 1790936 1982822 2686404 2974233 3070176 3581872 3965644 5372808 5948466 6939877 7163744 7931288 10745616 11896932 13879754 15862576 20819631 21491232 23793864 27759508 31725152 41639262 47587728 55519016 83278524 95175456 111038032 166557048 222076064 333114096 666228192