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22105213 = 133534817
BaseRepresentation
bin101010001010…
…0110001111101
31112121001122121
41110110301331
521124331323
62105442541
7355614454
oct124246175
945531577
1022105213
1111528a79
1274a0451
13476c710
142d15b9b
151e19a5d
hex1514c7d

22105213 has 8 divisors (see below), whose sum is σ = 23878008. Its totient is φ = 20342784.

The previous prime is 22105207. The next prime is 22105217. The reversal of 22105213 is 31250122.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 21930489 = 418^2 + 4683^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22105213 - 29 = 22104701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2181 + ... + 6997.

It is an arithmetic number, because the mean of its divisors is an integer number (2984751).

Almost surely, 222105213 is an apocalyptic number.

It is an amenable number.

22105213 is a deficient number, since it is larger than the sum of its proper divisors (1772795).

22105213 is a wasteful number, since it uses less digits than its factorization.

22105213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 22105213 is about 4701.6181257095. The cubic root of 22105213 is about 280.6499061563.

Adding to 22105213 its reverse (31250122), we get a palindrome (53355335).

The spelling of 22105213 in words is "twenty-two million, one hundred five thousand, two hundred thirteen".

Divisors: 1 13 353 4589 4817 62621 1700401 22105213