Search a number
2210120 = 235115023
BaseRepresentation
bin1000011011100101001000
311011021201022
420123211020
51031210440
6115212012
724533333
oct10334510
94137638
102210120
11127a550
128a7008
135c4c83
1441761a
152d9cb5
hex21b948

2210120 has 32 divisors (see below), whose sum is σ = 5425920. Its totient is φ = 803520.

The previous prime is 2210107. The next prime is 2210141. The reversal of 2210120 is 210122.

Adding to 2210120 its reverse (210122), we get a palindrome (2420242).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2210098 and 2210107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (169560).

22210120 is an apocalyptic number.

2210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210120 is an abundant number, since it is smaller than the sum of its proper divisors (3215800).

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

2210120 is a wasteful number, since it uses less digits than its factorization.

2210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2210120 is about 1486.6472345516. The cubic root of 2210120 is about 130.2582637025.

The spelling of 2210120 in words is "two million, two hundred ten thousand, one hundred twenty".