Search a number
-
+
23033222289 = 3672112732
BaseRepresentation
bin10101011100111000…
…110001010010010001
32012110020001221000000
4111130320301102101
5334133001103124
614325321520213
71443533105400
oct253470612221
965406057000
1023033222289
11984a720900
124569943069
132230c21a1c
141187099637
158ec1c36c9
hex55ce31491

23033222289 has 189 divisors, whose sum is σ = 44769436299. Its totient is φ = 11801401920.

The previous prime is 23033222263. The next prime is 23033222291. The reversal of 23033222289 is 98222233032.

It is a happy number.

The square root of 23033222289 is 151767.

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

23033222289 is a `hidden beast` number, since 2 + 303 + 322 + 2 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13074779025 + 9958443264 = 114345^2 + 99792^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 23033222289 - 211 = 23033220241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23033222299) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 315523557 + ... + 315523629.

Almost surely, 223033222289 is an apocalyptic number.

23033222289 is the 151767-th square number.

23033222289 is the 75884-th centered octagonal number.

It is an amenable number.

23033222289 is a deficient number, since it is larger than the sum of its proper divisors (21736214010).

23033222289 is an frugal number, since it uses more digits than its factorization.

23033222289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 23033222289 by its sum of digits (36), we get a square (829196002404 = 9106022).

The spelling of 23033222289 in words is "twenty-three billion, thirty-three million, two hundred twenty-two thousand, two hundred eighty-nine".