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2210231120 = 24527627889
BaseRepresentation
bin1000001110111101…
…0111001101010000
312201000221101002212
42003233113031100
514011304343440
61003152531252
7105525440336
oct20357271520
95630841085
102210231120
11a34688399
12518250b28
13292ba4486
1416d781b56
15ce08d465
hex83bd7350

2210231120 has 20 divisors (see below), whose sum is σ = 5138787540. Its totient is φ = 884092416.

The previous prime is 2210231063. The next prime is 2210231129. The reversal of 2210231120 is 211320122.

It is a happy number.

2210231120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 905287744 + 1304943376 = 30088^2 + 36124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2210231095 and 2210231104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210231129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13813865 + ... + 13814024.

It is an arithmetic number, because the mean of its divisors is an integer number (256939377).

Almost surely, 22210231120 is an apocalyptic number.

2210231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210231120 is an abundant number, since it is smaller than the sum of its proper divisors (2928556420).

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

2210231120 is a wasteful number, since it uses less digits than its factorization.

2210231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27627902 (or 27627896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2210231120 is about 47013.0951969768. The cubic root of 2210231120 is about 1302.6044669950.

Adding to 2210231120 its reverse (211320122), we get a palindrome (2421551242).

The spelling of 2210231120 in words is "two billion, two hundred ten million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27627889 55255778 110511556 138139445 221023112 276278890 442046224 552557780 1105115560 2210231120