Search a number
-
+
22141000 = 235373163
BaseRepresentation
bin101010001110…
…1100001001000
31112122212202001
41110131201020
521132003000
62110320344
7356124010
oct124354110
945585661
1022141000
1111552952
1274b90b4
134782aab
142d24c40
151e2546a
hex151d848

22141000 has 64 divisors (see below), whose sum is σ = 59230080. Its totient is φ = 7588800.

The previous prime is 22140977. The next prime is 22141013. The reversal of 22141000 is 14122.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 5419 + ... + 8581.

It is an arithmetic number, because the mean of its divisors is an integer number (925470).

Almost surely, 222141000 is an apocalyptic number.

22141000 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 22141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29615040).

22141000 is an abundant number, since it is smaller than the sum of its proper divisors (37089080).

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

22141000 is a wasteful number, since it uses less digits than its factorization.

22141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22141000 is about 4705.4224039931. The cubic root of 22141000 is about 280.8012762284.

Adding to 22141000 its reverse (14122), we get a palindrome (22155122).

The spelling of 22141000 in words is "twenty-two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3163 3500 6326 7000 12652 15815 22141 25304 31630 44282 63260 79075 88564 110705 126520 158150 177128 221410 316300 395375 442820 553525 632600 790750 885640 1107050 1581500 2214100 2767625 3163000 4428200 5535250 11070500 22141000