Search a number
-
+
235583066161 = 2324724492
BaseRepresentation
bin1101101101100111011…
…0000101000000110001
3211112002012002201211201
43123121312011000301
512324433231104121
6300120402411201
723006653010452
oct3333166050061
9745065081751
10235583066161
1190a015544a3
12397a8360b01
13192a528cb01
14b58bc07129
1561dc2c9e91
hex36d9d85031

235583066161 has 27 divisors (see below), whose sum is σ = 252184096171. Its totient is φ = 220054655744.

The previous prime is 235583066149. The next prime is 235583066183. The reversal of 235583066161 is 161660385532.

The square root of 235583066161 is 485369.

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

It can be written as a sum of positive squares in only one way, i.e., 143967883761 + 91615182400 = 379431^2 + 302680^2 .

It is not a de Polignac number, because 235583066161 - 25 = 235583066129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235583066101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524683665 + ... + 524684113.

Almost surely, 2235583066161 is an apocalyptic number.

235583066161 is the 485369-th square number.

235583066161 is the 242685-th centered octagonal number.

It is an amenable number.

235583066161 is a deficient number, since it is larger than the sum of its proper divisors (16601030010).

235583066161 is an frugal number, since it uses more digits than its factorization.

235583066161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 235583066161 in words is "two hundred thirty-five billion, five hundred eighty-three million, sixty-six thousand, one hundred sixty-one".

Divisors: 1 23 47 449 529 1081 2209 10327 21103 24863 50807 201601 237521 485369 991841 1168561 4636823 9475247 11163487 22812343 106646929 217930681 445336609 524683889 5012405663 10242742007 235583066161