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22573450242 = 2327250592
BaseRepresentation
bin10101000001011110…
…111000010000000010
32011021011221002022200
4111001132320100002
5332212300401432
614211535214030
71426251106200
oct250136702002
964234832280
1022573450242
119634140302
12445b977316
1321898b3165
141141db6070
158c1b54a7c
hex5417b8402

22573450242 has 54 divisors (see below), whose sum is σ = 56905556643. Its totient is φ = 6448282344.

The previous prime is 22573450223. The next prime is 22573450243. The reversal of 22573450242 is 24205437522.

22573450242 is a `hidden beast` number, since 2 + 2 + 573 + 45 + 0 + 2 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11286725121 + 11286725121 = 106239^2 + 106239^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106239.

It is a junction number, because it is equal to n+sod(n) for n = 22573450197 and 22573450206.

It is not an unprimeable number, because it can be changed into a prime (22573450243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4459509 + ... + 4464567.

Almost surely, 222573450242 is an apocalyptic number.

22573450242 is an abundant number, since it is smaller than the sum of its proper divisors (34332106401).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22573450242 is an frugal number, since it uses more digits than its factorization.

22573450242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 22573450242 its reverse (24205437522), we get a palindrome (46778887764).

The spelling of 22573450242 in words is "twenty-two billion, five hundred seventy-three million, four hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 5059 10118 15177 30354 35413 45531 70826 91062 106239 212478 247891 318717 495782 637434 743673 1487346 2231019 4462038 25593481 51186962 76780443 153560886 179154367 230341329 358308734 460682658 537463101 1074926202 1254080569 1612389303 2508161138 3224778606 3762241707 7524483414 11286725121 22573450242