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132248208 = 24319145009
BaseRepresentation
bin1111110000111…
…11001010010000
3100012211220102210
413320133022100
5232323420313
621042312120
73164043201
oct770371220
9305756383
10132248208
1168718044
1238358640
1321524ba1
14137c75a8
15b9249c3
hex7e1f290

132248208 has 40 divisors (see below), whose sum is σ = 359624800. Its totient is φ = 41762304.

The previous prime is 132248203. The next prime is 132248213. The reversal of 132248208 is 802842231.

132248208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132248203) and next prime (132248213).

It is a super-2 number, since 2×1322482082 = 34979177038422528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132248203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71593 + ... + 73416.

It is an arithmetic number, because the mean of its divisors is an integer number (8990620).

Almost surely, 2132248208 is an apocalyptic number.

It is an amenable number.

132248208 is an abundant number, since it is smaller than the sum of its proper divisors (227376592).

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

132248208 is a wasteful number, since it uses less digits than its factorization.

132248208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145039 (or 145033 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 132248208 is about 11499.9220866926. The cubic root of 132248208 is about 509.4832751775.

The spelling of 132248208 in words is "one hundred thirty-two million, two hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 145009 290018 435027 580036 870054 1160072 1740108 2320144 2755171 3480216 5510342 6960432 8265513 11020684 16531026 22041368 33062052 44082736 66124104 132248208