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22412320120233 = 33830085930379
BaseRepresentation
bin1010001100010010001100…
…11000010001110110101001
32221100121010010100200101000
411012021012120101312221
510414200412422321413
6115400024442145213
74502144120513601
oct506110630216651
987317103320330
1022412320120233
11716101446896a
12261b7a87b2209
13c6761b741ac4
14576a9521bc01
1528cee1163073
hex146246611da9

22412320120233 has 8 divisors (see below), whose sum is σ = 33203437215200. Its totient is φ = 14941546746804.

The previous prime is 22412320120207. The next prime is 22412320120271. The reversal of 22412320120233 is 33202102321422.

22412320120233 is a `hidden beast` number, since 2 + 2 + 412 + 3 + 2 + 0 + 12 + 0 + 233 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22412320120233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 830085930379 = 22412320120233 / (2 + 2 + 4 + 1 + 2 + 3 + 2 + 0 + 1 + 2 + 0 + 2 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22412320120197 and 22412320120206.

It is not an unprimeable number, because it can be changed into a prime (22412320320233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415042965163 + ... + 415042965216.

It is an arithmetic number, because the mean of its divisors is an integer number (4150429651900).

Almost surely, 222412320120233 is an apocalyptic number.

It is an amenable number.

22412320120233 is a deficient number, since it is larger than the sum of its proper divisors (10791117094967).

22412320120233 is an equidigital number, since it uses as much as digits as its factorization.

22412320120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830085930388 (or 830085930382 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22412320120233 its reverse (33202102321422), we get a palindrome (55614422441655).

The spelling of 22412320120233 in words is "twenty-two trillion, four hundred twelve billion, three hundred twenty million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 830085930379 2490257791137 7470773373411 22412320120233