Search a number
-
+
22147160 = 23571923181
BaseRepresentation
bin101010001111…
…1000001011000
31112200012012012
41110133001120
521132202120
62110405052
7356150660
oct124370130
945605165
1022147160
1111557542
127500788
134785839
142d271a0
151e271c5
hex151f058

22147160 has 128 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 6842880.

The previous prime is 22147159. The next prime is 22147207. The reversal of 22147160 is 6174122.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122270 + ... + 122450.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 222147160 is an apocalyptic number.

22147160 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 22147160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

22147160 is an abundant number, since it is smaller than the sum of its proper divisors (40752040).

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

22147160 is a wasteful number, since it uses less digits than its factorization.

22147160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 22147160 is about 4706.0769224483. The cubic root of 22147160 is about 280.8273150323.

The spelling of 22147160 in words is "twenty-two million, one hundred forty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 23 28 35 38 40 46 56 70 76 92 95 115 133 140 152 161 181 184 190 230 266 280 322 362 380 437 460 532 644 665 724 760 805 874 905 920 1064 1267 1288 1330 1448 1610 1748 1810 2185 2534 2660 3059 3220 3439 3496 3620 4163 4370 5068 5320 6118 6335 6440 6878 7240 8326 8740 10136 12236 12670 13756 15295 16652 17195 17480 20815 24073 24472 25340 27512 29141 30590 33304 34390 41630 48146 50680 58282 61180 68780 79097 83260 96292 116564 120365 122360 137560 145705 158194 166520 192584 233128 240730 291410 316388 395485 481460 553679 582820 632776 790970 962920 1107358 1165640 1581940 2214716 2768395 3163880 4429432 5536790 11073580 22147160