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99923166 = 23371913913
BaseRepresentation
bin1011111010010…
…11010011011110
320222000121211000
411331023103132
5201040020131
613525411130
72322222120
oct575132336
9228017730
1099923166
1151449832
1229569aa6
1317917845
14d3b1210
158b8bce6
hex5f4b4de

99923166 has 64 divisors (see below), whose sum is σ = 267148800. Its totient is φ = 27044928.

The previous prime is 99923143. The next prime is 99923171. The reversal of 99923166 is 66132999.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (4174200).

Almost surely, 299923166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99923166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133574400).

99923166 is an abundant number, since it is smaller than the sum of its proper divisors (167225634).

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

99923166 is a wasteful number, since it uses less digits than its factorization.

99923166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950 (or 13944 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 99923166 is about 9996.1575617834. The cubic root of 99923166 is about 464.0399756234.

The spelling of 99923166 in words is "ninety-nine million, nine hundred twenty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 13913 27826 41739 83478 97391 125217 194782 250434 264347 292173 375651 528694 584346 751302 793041 876519 1586082 1753038 1850429 2379123 2629557 3700858 4758246 5259114 5551287 7137369 11102574 14274738 16653861 33307722 49961583 99923166