Search a number
-
+
217207044 = 22328217349
BaseRepresentation
bin11001111001001…
…01000100000100
3120010201021001100
430330211010010
5421101111134
633315300100
75245141455
oct1474450404
9503637040
10217207044
1110167595a
12608aa630
13360003a2
1420bc112c
1514107999
hexcf25104

217207044 has 36 divisors (see below), whose sum is σ = 549794700. Its totient is φ = 72304320.

The previous prime is 217207043. The next prime is 217207051. The reversal of 217207044 is 440702712.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104040000 + 113167044 = 10200^2 + 10638^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 217206999 and 217207017.

It is not an unprimeable number, because it can be changed into a prime (217207043) 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, 25882 + ... + 33230.

It is an arithmetic number, because the mean of its divisors is an integer number (15272075).

Almost surely, 2217207044 is an apocalyptic number.

It is an amenable number.

217207044 is an abundant number, since it is smaller than the sum of its proper divisors (332587656).

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

217207044 is a wasteful number, since it uses less digits than its factorization.

217207044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 217207044 is about 14737.9457184507. The cubic root of 217207044 is about 601.1155579321.

Adding to 217207044 its reverse (440702712), we get a palindrome (657909756).

The spelling of 217207044 in words is "two hundred seventeen million, two hundred seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 821 1642 2463 3284 4926 7349 7389 9852 14698 14778 22047 29396 29556 44094 66141 88188 132282 264564 6033529 12067058 18100587 24134116 36201174 54301761 72402348 108603522 217207044