Search a number
-
+
202843045161 = 3217288312
BaseRepresentation
bin1011110011101001100…
…0110011110100101001
3201101120110222100021100
42330322120303310221
511310410304421121
6233103530232013
720440432302261
oct2747230636451
9641513870240
10202843045161
117903067a0a9
123338b885609
131618833b013
149b6390c7a1
155422d63026
hex2f3a633d29

202843045161 has 27 divisors (see below), whose sum is σ = 311279613463. Its totient is φ = 127259655360.

The previous prime is 202843045133. The next prime is 202843045169. The reversal of 202843045161 is 161540348202.

It is a happy number.

The square root of 202843045161 is 450381.

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

202843045161 is a `hidden beast` number, since 2 + 0 + 28 + 430 + 45 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157922786025 + 44920259136 = 397395^2 + 211944^2 .

It is not a de Polignac number, because 202843045161 - 27 = 202843045033 is a prime.

It is a super-2 number, since 2×2028430451612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202843045169) 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, 22965016 + ... + 22973846.

Almost surely, 2202843045161 is an apocalyptic number.

202843045161 is the 450381-st square number.

202843045161 is the 225191-st centered octagonal number.

It is an amenable number.

202843045161 is a deficient number, since it is larger than the sum of its proper divisors (108436568302).

202843045161 is an frugal number, since it uses more digits than its factorization.

202843045161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 202843045161 by its sum of digits (36), we get a square (7302349625796 = 27022862).

The spelling of 202843045161 in words is "two hundred two billion, eight hundred forty-three million, forty-five thousand, one hundred sixty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 8831 26493 79479 150127 450381 1351143 2552159 7656477 22969431 77986561 233959683 701879049 1325771537 3977314611 11931943833 22538116129 67614348387 202843045161