Search a number
-
+
214234772193 = 32133163679277
BaseRepresentation
bin1100011110000101100…
…0110011001011100001
3202110222101112000222100
43013201120303023201
512002223100202233
6242230150401013
721322636342401
oct3074130631341
9673871460870
10214234772193
1182946a42242
123562a960169
131728246b4c0
14a52482c801
15588cece813
hex31e16332e1

214234772193 has 48 divisors (see below), whose sum is σ = 344095338496. Its totient is φ = 127550194560.

The previous prime is 214234772177. The next prime is 214234772197. The reversal of 214234772193 is 391277432412.

214234772193 is a `hidden beast` number, since 2 + 1 + 423 + 4 + 7 + 7 + 219 + 3 = 666.

It is not a de Polignac number, because 214234772193 - 24 = 214234772177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214234772197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23088471 + ... + 23097747.

Almost surely, 2214234772193 is an apocalyptic number.

It is an amenable number.

214234772193 is a deficient number, since it is larger than the sum of its proper divisors (129860566303).

214234772193 is a wasteful number, since it uses less digits than its factorization.

214234772193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15694 (or 15691 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 214234772193 in words is "two hundred fourteen billion, two hundred thirty-four million, seven hundred seventy-two thousand, one hundred ninety-three".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 6367 9277 19101 27831 57303 82771 83493 120601 197377 248313 287587 361803 592131 744939 862761 1085409 1776393 2565901 2588283 3738631 7697703 11215893 23093109 33647679 59066659 177199977 531599931 767866567 1831066429 2303599701 5493199287 6910799103 16479597861 23803863577 71411590731 214234772193