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2162088 = 233230029
BaseRepresentation
bin1000001111110110101000
311001211211100
420033312220
51023141323
6114201400
724243315
oct10176650
94054740
102162088
111247455
12883260
135a9156
14403d0c
152ca943
hex20fda8

2162088 has 24 divisors (see below), whose sum is σ = 5855850. Its totient is φ = 720672.

The previous prime is 2162087. The next prime is 2162089. The reversal of 2162088 is 8802612.

2162088 is digitally balanced in base 2, 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 (2162087) and next prime (2162089).

It can be written as a sum of positive squares in only one way, i.e., 1205604 + 956484 = 1098^2 + 978^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2162087) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 14943 + ... + 15086.

22162088 is an apocalyptic number.

It is an amenable number.

2162088 is an abundant number, since it is smaller than the sum of its proper divisors (3693762).

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

2162088 is a wasteful number, since it uses less digits than its factorization.

2162088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30041 (or 30034 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2162088 is about 1470.4040261098. The cubic root of 2162088 is about 129.3077203918.

It can be divided in two parts, 216 and 2088, that added together give a square (2304 = 482).

The spelling of 2162088 in words is "two million, one hundred sixty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30029 60058 90087 120116 180174 240232 270261 360348 540522 720696 1081044 2162088