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22131240 = 2335434289
BaseRepresentation
bin101010001101…
…1001000101000
31112122101100120
41110123020220
521131144430
62110203240
7356053365
oct124331050
945571316
1022131240
111154658a
1274b3520
13477b511
142d2146c
151e22610
hex151b228

22131240 has 64 divisors (see below), whose sum is σ = 67953600. Its totient is φ = 5763072.

The previous prime is 22131223. The next prime is 22131259. The reversal of 22131240 is 4213122.

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

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, 3016 + ... + 7304.

It is an arithmetic number, because the mean of its divisors is an integer number (1061775).

Almost surely, 222131240 is an apocalyptic number.

22131240 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 22131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976800).

22131240 is an abundant number, since it is smaller than the sum of its proper divisors (45822360).

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

22131240 is a wasteful number, since it uses less digits than its factorization.

22131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4342 counting only the distinct ones).

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

The square root of 22131240 is about 4704.3851883110. The cubic root of 22131240 is about 280.7600100518.

Adding to 22131240 its reverse (4213122), we get a palindrome (26344362).

The spelling of 22131240 in words is "twenty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 4289 5160 8578 12867 17156 21445 25734 34312 42890 51468 64335 85780 102936 128670 171560 184427 257340 368854 514680 553281 737708 922135 1106562 1475416 1844270 2213124 2766405 3688540 4426248 5532810 7377080 11065620 22131240