Search a number
-
+
233212692241 = 337214332
BaseRepresentation
bin1101100100110010001…
…1110100011100010001
3211021221222211021010001
43121030203310130101
512310104422122431
6255045245210001
722564141114354
oct3311443643421
9737858737101
10233212692241
118a9a5537491
1239246560901
1318cb8177ba9
14b40509a29b
1560ee156e61
hex364c8f4711

233212692241 has 9 divisors (see below), whose sum is σ = 234070114161. Its totient is φ = 232358404992.

The previous prime is 233212692227. The next prime is 233212692247. The reversal of 233212692241 is 142296212332.

The square root of 233212692241 is 482921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3349978641 + 229862713600 = 57879^2 + 479440^2 .

It is not a de Polignac number, because 233212692241 - 221 = 233210595089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 233212692241.

It is not an unprimeable number, because it can be changed into a prime (233212692247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 162743661 + ... + 162745093.

Almost surely, 2233212692241 is an apocalyptic number.

233212692241 is the 482921-st square number.

233212692241 is the 241461-st centered octagonal number.

It is an amenable number.

233212692241 is a deficient number, since it is larger than the sum of its proper divisors (857421920).

233212692241 is an frugal number, since it uses more digits than its factorization.

233212692241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 1770 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The spelling of 233212692241 in words is "two hundred thirty-three billion, two hundred twelve million, six hundred ninety-two thousand, two hundred forty-one".

Divisors: 1 337 1433 113569 482921 2053489 162744377 692025793 233212692241