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22123140 = 223513113251
BaseRepresentation
bin101010001100…
…1001010000100
31112121222020120
41110121022010
521130420030
62110101540
7356020644
oct124311204
945558216
1022123140
1111540496
1274aa8b0
134777920
142d1c524
151e20010
hex1519284

22123140 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 5376000.

The previous prime is 22123133. The next prime is 22123169. The reversal of 22123140 is 4132122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88015 + ... + 88265.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 222123140 is an apocalyptic number.

22123140 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 22123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

22123140 is an abundant number, since it is smaller than the sum of its proper divisors (45445116).

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

22123140 is a wasteful number, since it uses less digits than its factorization.

22123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22123140 is about 4703.5242106319. The cubic root of 22123140 is about 280.7257532940.

Adding to 22123140 its reverse (4132122), we get a palindrome (26255262).

The spelling of 22123140 in words is "twenty-two million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 251 260 339 390 452 502 565 678 753 780 1004 1130 1255 1356 1469 1506 1695 2260 2510 2938 3012 3263 3390 3765 4407 5020 5876 6526 6780 7345 7530 8814 9789 13052 14690 15060 16315 17628 19578 22035 28363 29380 32630 39156 44070 48945 56726 65260 85089 88140 97890 113452 141815 170178 195780 283630 340356 368719 425445 567260 737438 850890 1106157 1474876 1701780 1843595 2212314 3687190 4424628 5530785 7374380 11061570 22123140