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2210202320 = 24527627529
BaseRepresentation
bin1000001110111101…
…0000001011010000
312201000212220121012
42003233100023100
514011302433240
61003152150052
7105525260354
oct20357201320
95630786535
102210202320
11a34668797
12518238328
13292b94331
1416d775464
15ce084b65
hex83bd02d0

2210202320 has 20 divisors (see below), whose sum is σ = 5138720580. Its totient is φ = 884080896.

The previous prime is 2210202311. The next prime is 2210202331. The reversal of 2210202320 is 232020122.

It can be written as a sum of positive squares in 2 ways, for example, as 667912336 + 1542289984 = 25844^2 + 39272^2 .

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 = 2210202295 and 2210202304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13813685 + ... + 13813844.

It is an arithmetic number, because the mean of its divisors is an integer number (256936029).

Almost surely, 22210202320 is an apocalyptic number.

2210202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210202320 is an abundant number, since it is smaller than the sum of its proper divisors (2928518260).

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

2210202320 is a wasteful number, since it uses less digits than its factorization.

2210202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627542 (or 27627536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2210202320 is about 47012.7888983413. The cubic root of 2210202320 is about 1302.5988091898.

Adding to 2210202320 its reverse (232020122), we get a palindrome (2442222442).

The spelling of 2210202320 in words is "two billion, two hundred ten million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27627529 55255058 110510116 138137645 221020232 276275290 442040464 552550580 1105101160 2210202320