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2097288 = 233229129
BaseRepresentation
bin1000000000000010001000
310221112221100
420000002020
51014103123
6112541400
723553354
oct10000210
93845840
102097288
1112027a6
12851860
135857cb
143c8464
152b6643
hex200088

2097288 has 24 divisors (see below), whose sum is σ = 5680350. Its totient is φ = 699072.

The previous prime is 2097287. The next prime is 2097289. The reversal of 2097288 is 8827902.

It is an interprime number because it is at equal distance from previous prime (2097287) and next prime (2097289).

It can be written as a sum of positive squares in only one way, i.e., 1954404 + 142884 = 1398^2 + 378^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 25 + 0 + 92 + 7 + 221 + 8 + 8 .

It is not an unprimeable number, because it can be changed into a prime (2097287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14493 + ... + 14636.

22097288 is an apocalyptic number.

It is an amenable number.

2097288 is an abundant number, since it is smaller than the sum of its proper divisors (3583062).

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

2097288 is a wasteful number, since it uses less digits than its factorization.

2097288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29141 (or 29134 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2097288 is about 1448.2016434185. The cubic root of 2097288 is about 128.0027668673.

The spelling of 2097288 in words is "two million, ninety-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29129 58258 87387 116516 174774 233032 262161 349548 524322 699096 1048644 2097288