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22141331433 = 3213398947441
BaseRepresentation
bin10100100111101110…
…011110011111101001
32010011001211011202100
4110213232132133221
5330321140101213
614101021324013
71412453132454
oct244756363751
963131734670
1022141331433
119432228021
12435b106609
13211b207360
14110085049b
15898c49773
hex527b9e7e9

22141331433 has 24 divisors (see below), whose sum is σ = 34451431560. Its totient is φ = 13621731840.

The previous prime is 22141331419. The next prime is 22141331447. The reversal of 22141331433 is 33413314122.

It is a happy number.

22141331433 is a `hidden beast` number, since 2 + 214 + 13 + 3 + 1 + 433 = 666.

It is an interprime number because it is at equal distance from previous prime (22141331419) and next prime (22141331447).

It can be written as a sum of positive squares in 4 ways, for example, as 341399529 + 21799931904 = 18477^2 + 147648^2 .

It is not a de Polignac number, because 22141331433 - 29 = 22141330921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22141331397 and 22141331406.

It is not an unprimeable number, because it can be changed into a prime (22141331413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442993 + ... + 490433.

It is an arithmetic number, because the mean of its divisors is an integer number (1435476315).

Almost surely, 222141331433 is an apocalyptic number.

It is an amenable number.

22141331433 is a deficient number, since it is larger than the sum of its proper divisors (12310100127).

22141331433 is a wasteful number, since it uses less digits than its factorization.

22141331433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51449 (or 51446 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 22141331433 its reverse (33413314122), we get a palindrome (55554645555).

The spelling of 22141331433 in words is "twenty-two billion, one hundred forty-one million, three hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 3989 11967 35901 47441 51857 142323 155571 426969 466713 616733 1850199 5550597 189242149 567726447 1703179341 2460147937 7380443811 22141331433