Search a number
-
+
23198149 = 1317372837
BaseRepresentation
bin101100001111…
…1100111000101
31121122120212201
41120133213011
521414320044
62145114501
7401116042
oct130374705
947576781
1023198149
1112105127
127928a31
134a63020
14311c1c9
1520837d4
hex161f9c5

23198149 has 16 divisors (see below), whose sum is σ = 27176688. Its totient is φ = 19602432.

The previous prime is 23198111. The next prime is 23198167. The reversal of 23198149 is 94189132.

It can be written as a sum of positive squares in 8 ways, for example, as 330625 + 22867524 = 575^2 + 4782^2 .

It is a cyclic number.

It is not a de Polignac number, because 23198149 - 211 = 23196101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23198249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6759 + ... + 9595.

It is an arithmetic number, because the mean of its divisors is an integer number (1698543).

Almost surely, 223198149 is an apocalyptic number.

It is an amenable number.

23198149 is a deficient number, since it is larger than the sum of its proper divisors (3978539).

23198149 is a wasteful number, since it uses less digits than its factorization.

23198149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904.

The product of its digits is 15552, while the sum is 37.

The square root of 23198149 is about 4816.4456812052. The cubic root of 23198149 is about 285.2010441524.

The spelling of 23198149 in words is "twenty-three million, one hundred ninety-eight thousand, one hundred forty-nine".

Divisors: 1 13 17 37 221 481 629 2837 8177 36881 48229 104969 626977 1364597 1784473 23198149