Search a number
-
+
23197422249 = 3656412
BaseRepresentation
bin10101100110101011…
…001001001010101001
32012212200001011000000
4111212223021022221
5340002020002444
614353505133213
71450565556441
oct254653111251
965780034000
1023197422249
119924381751
1245b492a209
132258c53071
1411a0bdd121
1590b80a469
hex566ac92a9

23197422249 has 21 divisors (see below), whose sum is σ = 34786389639. Its totient is φ = 15462206640.

The previous prime is 23197422217. The next prime is 23197422257. The reversal of 23197422249 is 94222479132.

The square root of 23197422249 is 152307.

It is a perfect power (a square), and thus also a powerful number.

23197422249 is a `hidden beast` number, since 2 + 319 + 74 + 22 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22934982249 + 262440000 = 151443^2 + 16200^2 .

It is not a de Polignac number, because 23197422249 - 25 = 23197422217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23197422049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4109469 + ... + 4115109.

Almost surely, 223197422249 is an apocalyptic number.

23197422249 is the 152307-th square number.

23197422249 is the 76154-th centered octagonal number.

It is an amenable number.

23197422249 is a deficient number, since it is larger than the sum of its proper divisors (11588967390).

23197422249 is an frugal number, since it uses more digits than its factorization.

23197422249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 5644 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 23197422249 in words is "twenty-three billion, one hundred ninety-seven million, four hundred twenty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 27 81 243 729 5641 16923 50769 152307 456921 1370763 4112289 31820881 95462643 286387929 859163787 2577491361 7732474083 23197422249