Search a number
-
+
22202023223424 = 273115256160801
BaseRepresentation
bin1010000110001010011111…
…01101010010000010000000
32220121111022011122102220010
411003011033231102002000
510402224220421122144
6115115245121544520
74451020555421352
oct503051755220200
986544264572803
1022202023223424
11708a9093387a0
1225a6a987a5140
13c50846082ca5
1456a8257b10d2
152877d3c365b9
hex14314fb52080

22202023223424 has 64 divisors (see below), whose sum is σ = 64335408216480. Its totient is φ = 6727885824000.

The previous prime is 22202023223423. The next prime is 22202023223431. The reversal of 22202023223424 is 42432232020222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22202023223391 and 22202023223400.

It is not an unprimeable number, because it can be changed into a prime (22202023223423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2628076177 + ... + 2628084624.

Almost surely, 222202023223424 is an apocalyptic number.

22202023223424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22202023223424 is an abundant number, since it is smaller than the sum of its proper divisors (42133384993056).

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

22202023223424 is a wasteful number, since it uses less digits than its factorization.

22202023223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256160829 (or 5256160817 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 22202023223424 its reverse (42432232020222), we get a palindrome (64634255243646).

The spelling of 22202023223424 in words is "twenty-two trillion, two hundred two billion, twenty-three million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5256160801 10512321602 15768482403 21024643204 31536964806 42049286408 57817768811 63073929612 84098572816 115635537622 126147859224 168197145632 173453306433 231271075244 252295718448 336394291264 346906612866 462542150488 504591436896 672788582528 693813225732 925084300976 1009182873792 1387626451464 1850168601952 2018365747584 2775252902928 3700337203904 5550505805856 7400674407808 11101011611712 22202023223424