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223164144 = 24327221393
BaseRepresentation
bin11010100110100…
…11011011110000
3120112220220122200
431103103123300
5424112223034
634051103200
75346602220
oct1523233360
9515826580
10223164144
11104a74585
12628a1b00
13373079b8
14218d2080
15148d2a99
hexd4d36f0

223164144 has 60 divisors (see below), whose sum is σ = 713774256. Its totient is φ = 63760896.

The previous prime is 223164127. The next prime is 223164167. The reversal of 223164144 is 441461322.

It is a happy number.

It is a super-3 number, since 3×2231641443 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109689 + ... + 111704.

Almost surely, 2223164144 is an apocalyptic number.

223164144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223164144 is an abundant number, since it is smaller than the sum of its proper divisors (490610112).

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

223164144 is a wasteful number, since it uses less digits than its factorization.

223164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221414 (or 221405 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 223164144 is about 14938.6794597113. The cubic root of 223164144 is about 606.5614507115.

The spelling of 223164144 in words is "two hundred twenty-three million, one hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 221393 442786 664179 885572 1328358 1549751 1771144 1992537 2656716 3099502 3542288 3985074 4649253 5313432 6199004 7970148 9298506 10626864 12398008 13947759 15940296 18597012 24796016 27895518 31880592 37194024 55791036 74388048 111582072 223164144