Search a number
-
+
242022304233 = 32115972318821
BaseRepresentation
bin1110000101100110100…
…1110100100111101001
3212010200221122220212200
43201121221310213221
512431130202213413
6303103345530413
723325352433343
oct3413151644751
9763627586780
10242022304233
1193706310356
123aaa4943a09
1319a90357c58
14b9dd0b2293
156467777573
hex3859a749e9

242022304233 has 12 divisors (see below), whose sum is σ = 349618068228. Its totient is φ = 161334220320.

The previous prime is 242022304231. The next prime is 242022304273. The reversal of 242022304233 is 332403220242.

It is a happy number.

242022304233 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 230 + 423 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149778288144 + 92244016089 = 387012^2 + 303717^2 .

It is not a de Polignac number, because 242022304233 - 21 = 242022304231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242022304197 and 242022304206.

It is not an unprimeable number, because it can be changed into a prime (242022304231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055038 + ... + 1263783.

It is an arithmetic number, because the mean of its divisors is an integer number (29134839019).

Almost surely, 2242022304233 is an apocalyptic number.

It is an amenable number.

242022304233 is a deficient number, since it is larger than the sum of its proper divisors (107595763995).

242022304233 is a wasteful number, since it uses less digits than its factorization.

242022304233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330424 (or 2330421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 242022304233 its reverse (332403220242), we get a palindrome (574425524475).

The spelling of 242022304233 in words is "two hundred forty-two billion, twenty-two million, three hundred four thousand, two hundred thirty-three".

Divisors: 1 3 9 11597 34791 104373 2318821 6956463 20869389 26891367137 80674101411 242022304233