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22231100112 = 2431340987107
BaseRepresentation
bin10100101101000100…
…111010101011010000
32010101022201220020020
4110231010322223100
5331012130200422
614113545343440
71414623142644
oct245504725320
963338656206
1022231100112
119478970611
124385197b80
1321339a7c10
14110c73ac24
158a1a7c95c
hex52d13aad0

22231100112 has 80 divisors (see below), whose sum is σ = 61999990080. Its totient is φ = 6823535616.

The previous prime is 22231100093. The next prime is 22231100201. The reversal of 22231100112 is 21100113222.

It is a junction number, because it is equal to n+sod(n) for n = 22231100091 and 22231100100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211663 + ... + 298769.

It is an arithmetic number, because the mean of its divisors is an integer number (774999876).

Almost surely, 222231100112 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 22231100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30999995040).

22231100112 is an abundant number, since it is smaller than the sum of its proper divisors (39768889968).

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

22231100112 is a wasteful number, since it uses less digits than its factorization.

22231100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87540 (or 87534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22231100112 its reverse (21100113222), we get a palindrome (43331213334).

The spelling of 22231100112 in words is "twenty-two billion, two hundred thirty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 409 624 818 1227 1636 2454 3272 4908 5317 6544 9816 10634 15951 19632 21268 31902 42536 63804 85072 87107 127608 174214 255216 261321 348428 522642 696856 1045284 1132391 1393712 2090568 2264782 3397173 4181136 4529564 6794346 9059128 13588692 18118256 27177384 35626763 54354768 71253526 106880289 142507052 213760578 285014104 427521156 463147919 570028208 855042312 926295838 1389443757 1710084624 1852591676 2778887514 3705183352 5557775028 7410366704 11115550056 22231100112