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22230231420 = 22351933158913
BaseRepresentation
bin10100101101000001…
…100110100101111100
32010101021002202121110
4110231001212211330
5331011414401140
614113515002020
71414612564215
oct245501464574
963337082543
1022230231420
119478427991
124384a39310
1321337626b7
14110c59240c
158a195a380
hex52d06697c

22230231420 has 96 divisors (see below), whose sum is σ = 65719745280. Its totient is φ = 5598996480.

The previous prime is 22230231383. The next prime is 22230231427. The reversal of 22230231420 is 2413203222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230231427) 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 31 ways as a sum of consecutive naturals, for example, 347884 + ... + 406796.

It is an arithmetic number, because the mean of its divisors is an integer number (684580680).

Almost surely, 222230231420 is an apocalyptic number.

22230231420 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 22230231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32859872640).

22230231420 is an abundant number, since it is smaller than the sum of its proper divisors (43489513860).

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

22230231420 is a wasteful number, since it uses less digits than its factorization.

22230231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59275 (or 59273 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22230231420 its reverse (2413203222), we get a palindrome (24643434642).

The spelling of 22230231420 in words is "twenty-two billion, two hundred thirty million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 331 380 570 662 993 1140 1324 1655 1986 3310 3972 4965 6289 6620 9930 12578 18867 19860 25156 31445 37734 58913 62890 75468 94335 117826 125780 176739 188670 235652 294565 353478 377340 589130 706956 883695 1119347 1178260 1767390 2238694 3358041 3534780 4477388 5596735 6716082 11193470 13432164 16790205 19500203 22386940 33580410 39000406 58500609 67160820 78000812 97501015 117001218 195002030 234002436 292503045 370503857 390004060 585006090 741007714 1111511571 1170012180 1482015428 1852519285 2223023142 3705038570 4446046284 5557557855 7410077140 11115115710 22230231420