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22153321242 = 23213734872663
BaseRepresentation
bin10100101000011100…
…001101101100011010
32010011220101022200100
4110220130031230122
5330332222234432
614102130320230
71412660060253
oct245034155432
963156338610
1022153321242
119438a77158
124363129076
132120844810
141102291b2a
15899d1707c
hex52870db1a

22153321242 has 96 divisors (see below), whose sum is σ = 52526492928. Its totient is φ = 6706706688.

The previous prime is 22153321213. The next prime is 22153321243. The reversal of 22153321242 is 24212335122.

22153321242 is a `hidden beast` number, since 2 + 2 + 1 + 533 + 2 + 124 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (22153321243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8317603 + ... + 8320265.

It is an arithmetic number, because the mean of its divisors is an integer number (547150968).

Almost surely, 222153321242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22153321242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26263246464).

22153321242 is an abundant number, since it is smaller than the sum of its proper divisors (30373171686).

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

22153321242 is a wasteful number, since it uses less digits than its factorization.

22153321242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3241 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 22153321242 its reverse (24212335122), we get a palindrome (46365656364).

The spelling of 22153321242 in words is "twenty-two billion, one hundred fifty-three million, three hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 487 657 949 974 1314 1461 1898 2663 2847 2922 4383 5326 5694 6331 7989 8541 8766 12662 15978 17082 18993 23967 34619 35551 37986 47934 56979 69238 71102 103857 106653 113958 194399 207714 213306 311571 319959 388798 462163 583197 623142 639918 924326 1166394 1296881 1386489 1749591 2527187 2593762 2772978 3499182 3890643 4159467 5054374 7581561 7781286 8318934 11671929 15163122 16859453 22744683 23343858 33718906 45489366 50578359 94672313 101156718 151735077 189344626 284016939 303470154 568033878 852050817 1230740069 1704101634 2461480138 3692220207 7384440414 11076660621 22153321242