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102255444 = 22325353593
BaseRepresentation
bin1100001100001…
…00101101010100
321010102010002200
412012010231110
5202134133234
614051404500
72351104554
oct606045524
9233363080
10102255444
11527a2035
122a2b3730
13182532a5
14d81b164
158e9cd99
hex6184b54

102255444 has 36 divisors (see below), whose sum is σ = 263360916. Its totient is φ = 33441408.

The previous prime is 102255403. The next prime is 102255469. The reversal of 102255444 is 444552201.

102255444 is a `hidden beast` number, since 102 + 2 + 554 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60652944 + 41602500 = 7788^2 + 6450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24889 + ... + 28704.

It is an arithmetic number, because the mean of its divisors is an integer number (7315581).

Almost surely, 2102255444 is an apocalyptic number.

It is an amenable number.

102255444 is an abundant number, since it is smaller than the sum of its proper divisors (161105472).

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

102255444 is a wasteful number, since it uses less digits than its factorization.

102255444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53656 (or 53651 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 102255444 is about 10112.1433929707. The cubic root of 102255444 is about 467.6225863627.

The spelling of 102255444 in words is "one hundred two million, two hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 53593 107186 160779 214372 321558 482337 643116 964674 1929348 2840429 5680858 8521287 11361716 17042574 25563861 34085148 51127722 102255444