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148188168 = 23322058169
BaseRepresentation
bin10001101010100…
…10110000001000
3101022211201221200
420311102300020
5300414010133
622412104200
73446402322
oct1065226010
9338751850
10148188168
1176714a67
1241765060
132491630b
1415976612
15d022913
hex8d52c08

148188168 has 24 divisors (see below), whose sum is σ = 401343150. Its totient is φ = 49396032.

The previous prime is 148188151. The next prime is 148188169. The reversal of 148188168 is 861881841.

148188168 is a `hidden beast` number, since 1 + 481 + 8 + 8 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144432324 + 3755844 = 12018^2 + 1938^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (148188169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1029013 + ... + 1029156.

Almost surely, 2148188168 is an apocalyptic number.

148188168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148188168 is an abundant number, since it is smaller than the sum of its proper divisors (253154982).

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

148188168 is a wasteful number, since it uses less digits than its factorization.

148188168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058181 (or 2058174 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 148188168 is about 12173.2562611653. The cubic root of 148188168 is about 529.1813253660.

The spelling of 148188168 in words is "one hundred forty-eight million, one hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2058169 4116338 6174507 8232676 12349014 16465352 18523521 24698028 37047042 49396056 74094084 148188168