Search a number
-
+
10219137 = 331310883
BaseRepresentation
bin100110111110…
…111010000001
3201020012000120
4212332322001
510104003022
61003010453
7152601255
oct46767201
921205016
1010219137
11584a875
123509a29
13216a536
141500265
15d6cd5c
hex9bee81

10219137 has 8 divisors (see below), whose sum is σ = 13670304. Its totient is φ = 6790368.

The previous prime is 10219133. The next prime is 10219151. The reversal of 10219137 is 73191201.

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

It is not a de Polignac number, because 10219137 - 22 = 10219133 is a prime.

It is a super-2 number, since 2×102191372 = 208861522049538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10219133) 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, 4503 + ... + 6380.

It is an arithmetic number, because the mean of its divisors is an integer number (1708788).

Almost surely, 210219137 is an apocalyptic number.

It is an amenable number.

10219137 is a deficient number, since it is larger than the sum of its proper divisors (3451167).

10219137 is a wasteful number, since it uses less digits than its factorization.

10219137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 10219137 is about 3196.7384941531. The cubic root of 10219137 is about 217.0058327695.

The spelling of 10219137 in words is "ten million, two hundred nineteen thousand, one hundred thirty-seven".

Divisors: 1 3 313 939 10883 32649 3406379 10219137