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22230331120 = 2453738319609
BaseRepresentation
bin10100101101000001…
…111110111011110000
32010101021021211101001
4110231001332323300
5331011431043440
614113521051344
71414613460664
oct245501767360
963337254331
1022230331120
119478495888
124384a86b54
132133798baa
14110c5ba8a4
158a1979b9a
hex52d07eef0

22230331120 has 80 divisors (see below), whose sum is σ = 53223736320. Its totient is φ = 8628774912.

The previous prime is 22230331117. The next prime is 22230331121. The reversal of 22230331120 is 2113303222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123876 + ... + 1143484.

It is an arithmetic number, because the mean of its divisors is an integer number (665296704).

Almost surely, 222230331120 is an apocalyptic number.

22230331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611868160).

22230331120 is an abundant number, since it is smaller than the sum of its proper divisors (30993405200).

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

22230331120 is a wasteful number, since it uses less digits than its factorization.

22230331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20042 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22230331120 its reverse (2113303222), we get a palindrome (24343634342).

The spelling of 22230331120 in words is "twenty-two billion, two hundred thirty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 383 592 740 766 1480 1532 1915 2960 3064 3830 6128 7660 14171 15320 19609 28342 30640 39218 56684 70855 78436 98045 113368 141710 156872 196090 226736 283420 313744 392180 566840 725533 784360 1133680 1451066 1568720 2902132 3627665 5804264 7255330 7510247 11608528 14510660 15020494 29021320 30040988 37551235 58042640 60081976 75102470 120163952 150204940 277879139 300409880 555758278 600819760 1111516556 1389395695 2223033112 2778791390 4446066224 5557582780 11115165560 22230331120