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22023440224 = 2553103139907
BaseRepresentation
bin10100100000101100…
…110000011101100000
32002211211222200102021
4110200230300131200
5330101000041344
614041210431224
71406522103352
oct244054603540
962754880367
1022023440224
119381726675
124327732514
1320cc96b246
1410ccd230d2
1588d70db84
hex520b30760

22023440224 has 96 divisors (see below), whose sum is σ = 44976072960. Its totient is φ = 10610376192.

The previous prime is 22023440203. The next prime is 22023440249. The reversal of 22023440224 is 42204432022.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24281179 + ... + 24282085.

It is an arithmetic number, because the mean of its divisors is an integer number (468500760).

Almost surely, 222023440224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22023440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22488036480).

22023440224 is an abundant number, since it is smaller than the sum of its proper divisors (22952632736).

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

22023440224 is a wasteful number, since it uses less digits than its factorization.

22023440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 22023440224 its reverse (42204432022), we get a palindrome (64227872246).

The spelling of 22023440224 in words is "twenty-two billion, twenty-three million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 103 106 139 206 212 278 412 424 556 824 848 907 1112 1648 1696 1814 2224 3296 3628 4448 5459 7256 7367 10918 14317 14512 14734 21836 28634 29024 29468 43672 48071 57268 58936 87344 93421 96142 114536 117872 126073 174688 186842 192284 229072 235744 252146 373684 384568 458144 504292 747368 758801 769136 1008584 1494736 1517602 1538272 2017168 2989472 3035204 4034336 4951313 6070408 6681869 9902626 12140816 12985519 13363738 19805252 24281632 25971038 26727476 39610504 51942076 53454952 79221008 103884152 106909904 158442016 207768304 213819808 415536608 688232507 1376465014 2752930028 5505860056 11011720112 22023440224