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102230144 = 276113093
BaseRepresentation
bin1100001011111…
…10100010000000
321010100211101122
412011332202000
5202132331034
614051051412
72350641032
oct605764200
9233324348
10102230144
1152785025
122a2a0b68
1318244913
14d811c52
158e9562e
hex617e880

102230144 has 32 divisors (see below), whose sum is σ = 207016140. Its totient is φ = 50273280.

The previous prime is 102230069. The next prime is 102230153. The reversal of 102230144 is 441032201.

It can be written as a sum of positive squares in 2 ways, for example, as 101767744 + 462400 = 10088^2 + 680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1262 + ... + 14354.

Almost surely, 2102230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103508070).

102230144 is an abundant number, since it is smaller than the sum of its proper divisors (104785996).

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

102230144 is an equidigital number, since it uses as much as digits as its factorization.

102230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 102230144 is about 10110.8923443977. The cubic root of 102230144 is about 467.5840168521.

Adding to 102230144 its reverse (441032201), we get a palindrome (543262345).

The spelling of 102230144 in words is "one hundred two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 13093 26186 52372 104744 209488 418976 798673 837952 1597346 1675904 3194692 6389384 12778768 25557536 51115072 102230144