Search a number
-
+
22227040 = 2551173173
BaseRepresentation
bin101010011001…
…0100001100000
31112211020202201
41110302201200
521142231130
62112222544
7356632603
oct124624140
945736681
1022227040
1111601560
12753aa54
1347b2cc4
142d4833a
151e40bca
hex1532860

22227040 has 96 divisors (see below), whose sum is σ = 58405536. Its totient is φ = 7925760.

The previous prime is 22227019. The next prime is 22227053. The reversal of 22227040 is 4072222.

It is a junction number, because it is equal to n+sod(n) for n = 22226999 and 22227017.

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, 128394 + ... + 128566.

It is an arithmetic number, because the mean of its divisors is an integer number (608391).

Almost surely, 222227040 is an apocalyptic number.

22227040 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 22227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29202768).

22227040 is an abundant number, since it is smaller than the sum of its proper divisors (36178496).

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

22227040 is a wasteful number, since it uses less digits than its factorization.

22227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 22227040 is about 4714.5561827175. The cubic root of 22227040 is about 281.1645376549.

Adding to 22227040 its reverse (4072222), we get a palindrome (26299262).

The spelling of 22227040 in words is "twenty-two million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 146 160 173 176 220 292 346 352 365 440 584 692 730 803 865 880 1168 1384 1460 1606 1730 1760 1903 2336 2768 2920 3212 3460 3806 4015 5536 5840 6424 6920 7612 8030 9515 11680 12629 12848 13840 15224 16060 19030 25258 25696 27680 30448 32120 38060 50516 60896 63145 64240 76120 101032 126290 128480 138919 152240 202064 252580 277838 304480 404128 505160 555676 694595 1010320 1111352 1389190 2020640 2222704 2778380 4445408 5556760 11113520 22227040