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2168144 = 241197127
BaseRepresentation
bin1000010001010101010000
311002011010122
420101111100
51023340034
6114245412
724300056
oct10212520
94064118
102168144
111250a60
12886868
135abb34
144061d6
152cc62e
hex211550

2168144 has 40 divisors (see below), whose sum is σ = 4666368. Its totient is φ = 967680.

The previous prime is 2168143. The next prime is 2168149. The reversal of 2168144 is 4418612.

2168144 = T352 + T353 + ... + T383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17009 + ... + 17135.

22168144 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 2168144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184).

2168144 is an abundant number, since it is smaller than the sum of its proper divisors (2498224).

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

2168144 is a wasteful number, since it uses less digits than its factorization.

2168144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 2168144 is about 1472.4618840568. The cubic root of 2168144 is about 129.4283379844.

The spelling of 2168144 in words is "two million, one hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 127 176 194 254 388 508 776 1016 1067 1397 1552 2032 2134 2794 4268 5588 8536 11176 12319 17072 22352 24638 49276 98552 135509 197104 271018 542036 1084072 2168144