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23255168 = 27971873
BaseRepresentation
bin101100010110…
…1100010000000
31121202111002112
41120231202000
521423131133
62150234452
7401444216
oct130554200
947674075
1023255168
1112143a52
127955a28
134a82c71
143134cb6
152095648
hex162d880

23255168 has 32 divisors (see below), whose sum is σ = 46831260. Its totient is φ = 11501568.

The previous prime is 23255161. The next prime is 23255171. The reversal of 23255168 is 86155232.

It can be written as a sum of positive squares in 2 ways, for example, as 20720704 + 2534464 = 4552^2 + 1592^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (23255161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11480 + ... + 13352.

Almost surely, 223255168 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 23255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23415630).

23255168 is an abundant number, since it is smaller than the sum of its proper divisors (23576092).

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

23255168 is an equidigital number, since it uses as much as digits as its factorization.

23255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1972 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 23255168 is about 4822.3612473559. The cubic root of 23255168 is about 285.4345192899.

The spelling of 23255168 in words is "twenty-three million, two hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 1873 3104 3746 6208 7492 12416 14984 29968 59936 119872 181681 239744 363362 726724 1453448 2906896 5813792 11627584 23255168