Search a number
-
+
22127820 = 223511132579
BaseRepresentation
bin101010001101…
…0010011001100
31112122012122220
41110122103030
521131042240
62110135340
7356040411
oct124322314
945565586
1022127820
1111543a60
1274b1550
134779ab0
142d20108
151e215d0
hex151a4cc

22127820 has 96 divisors (see below), whose sum is σ = 72817920. Its totient is φ = 4949760.

The previous prime is 22127797. The next prime is 22127849. The reversal of 22127820 is 2872122.

It is a happy 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, 7291 + ... + 9869.

It is an arithmetic number, because the mean of its divisors is an integer number (758520).

Almost surely, 222127820 is an apocalyptic number.

22127820 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 22127820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408960).

22127820 is an abundant number, since it is smaller than the sum of its proper divisors (50690100).

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

22127820 is a wasteful number, since it uses less digits than its factorization.

22127820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 22127820 is about 4704.0216836235. The cubic root of 22127820 is about 280.7455471071.

Adding to 22127820 its reverse (2872122), we get a palindrome (24999942).

The spelling of 22127820 in words is "twenty-two million, one hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2579 2860 4290 5158 7737 8580 10316 12895 15474 25790 28369 30948 33527 38685 51580 56738 67054 77370 85107 100581 113476 134108 141845 154740 167635 170214 201162 283690 335270 340428 368797 402324 425535 502905 567380 670540 737594 851070 1005810 1106391 1475188 1702140 1843985 2011620 2212782 3687970 4425564 5531955 7375940 11063910 22127820