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22468656 = 2437241233
BaseRepresentation
bin101010110110…
…1100000110000
31120021112012110
41111231200300
521222444111
62121325320
7361660200
oct125554060
946245173
1022468656
1111757041
127636840
134868c82
142dac400
151e8c5a6
hex156d830

22468656 has 120 divisors (see below), whose sum is σ = 69464304. Its totient is φ = 6236160.

The previous prime is 22468639. The next prime is 22468669. The reversal of 22468656 is 65686422.

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 23 ways as a sum of consecutive naturals, for example, 96316 + ... + 96548.

Almost surely, 222468656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22468656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732152).

22468656 is an abundant number, since it is smaller than the sum of its proper divisors (46995648).

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

22468656 is a wasteful number, since it uses less digits than its factorization.

22468656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 22468656 is about 4740.1113910962. Note that the first 3 decimals coincide. The cubic root of 22468656 is about 282.1796551512.

The spelling of 22468656 in words is "twenty-two million, four hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 233 246 287 294 328 336 392 466 492 574 588 656 699 784 861 932 984 1148 1176 1398 1631 1722 1864 1968 2009 2296 2352 2796 3262 3444 3728 4018 4592 4893 5592 6027 6524 6888 8036 9553 9786 11184 11417 12054 13048 13776 16072 19106 19572 22834 24108 26096 28659 32144 34251 38212 39144 45668 48216 57318 66871 68502 76424 78288 91336 96432 114636 133742 137004 152848 182672 200613 229272 267484 274008 401226 458544 468097 534968 548016 802452 936194 1069936 1404291 1604904 1872388 2808582 3209808 3744776 5617164 7489552 11234328 22468656