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2280117 = 37215511
BaseRepresentation
bin1000101100101010110101
311021211201210
420230222311
51040430432
6120512033
725244400
oct10545265
94254653
102280117
1113180a4
1291b619
1361aaa8
14434d37
153008cc
hex22cab5

2280117 has 12 divisors (see below), whose sum is σ = 3536736. Its totient is φ = 1302840.

The previous prime is 2280107. The next prime is 2280127. The reversal of 2280117 is 7110822.

2280117 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 (2280107) and next prime (2280127).

It is not a de Polignac number, because 2280117 - 26 = 2280053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

2280117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2280093 and 2280102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280107) 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 11 ways as a sum of consecutive naturals, for example, 7609 + ... + 7902.

It is an arithmetic number, because the mean of its divisors is an integer number (294728).

22280117 is an apocalyptic number.

It is an amenable number.

2280117 is a deficient number, since it is larger than the sum of its proper divisors (1256619).

2280117 is a wasteful number, since it uses less digits than its factorization.

2280117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2280117 is about 1510.0056291286. The cubic root of 2280117 is about 131.6191386078.

Adding to 2280117 its reverse (7110822), we get a palindrome (9390939).

The spelling of 2280117 in words is "two million, two hundred eighty thousand, one hundred seventeen".

Divisors: 1 3 7 21 49 147 15511 46533 108577 325731 760039 2280117