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22240890 = 2325743821
BaseRepresentation
bin101010011010…
…1111001111010
31112211221202200
41110311321322
521143202030
62112411030
7360021150
oct124657172
945757680
1022240890
1111610a01
127546a76
1347b93b9
142d4d3d0
151e44d60
hex1535e7a

22240890 has 96 divisors (see below), whose sum is σ = 67706496. Its totient is φ = 4959360.

The previous prime is 22240853. The next prime is 22240903. The reversal of 22240890 is 9804222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26680 + ... + 27500.

It is an arithmetic number, because the mean of its divisors is an integer number (705276).

Almost surely, 222240890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33853248).

22240890 is an abundant number, since it is smaller than the sum of its proper divisors (45465606).

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

22240890 is a wasteful number, since it uses less digits than its factorization.

22240890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22240890 is about 4716.0248090950. The cubic root of 22240890 is about 281.2229248010. Note that the first 3 decimals are identical.

The spelling of 22240890 in words is "twenty-two million, two hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 821 903 1290 1505 1642 1806 1935 2463 2709 3010 3870 4105 4515 4926 5418 5747 7389 8210 9030 11494 12315 13545 14778 17241 24630 27090 28735 34482 35303 36945 51723 57470 70606 73890 86205 103446 105909 172410 176515 211818 247121 258615 317727 353030 494242 517230 529545 635454 741363 1059090 1235605 1482726 1588635 2224089 2471210 3177270 3706815 4448178 7413630 11120445 22240890