Search a number
-
+
22448790 = 23257132741
BaseRepresentation
bin101010110100…
…0101010010110
31120020111221200
41111220222112
521221330130
62121053330
7361545240
oct125505226
946214850
1022448790
1111743121
127627246
13485cc10
142da5090
151e86760
hex1568a96

22448790 has 96 divisors (see below), whose sum is σ = 71862336. Its totient is φ = 4734720.

The previous prime is 22448773. The next prime is 22448791. The reversal of 22448790 is 9784422.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22448791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6820 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (748566).

Almost surely, 222448790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22448790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35931168).

22448790 is an abundant number, since it is smaller than the sum of its proper divisors (49413546).

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

22448790 is a wasteful number, since it uses less digits than its factorization.

22448790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 22448790 is about 4738.0154073198. The cubic root of 22448790 is about 282.0964661673.

The spelling of 22448790 in words is "twenty-two million, four hundred forty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 2741 4095 5482 8190 8223 13705 16446 19187 24669 27410 35633 38374 41115 49338 57561 71266 82230 95935 106899 115122 123345 172683 178165 191870 213798 246690 249431 287805 320697 345366 356330 498862 534495 575610 641394 748293 863415 1068990 1247155 1496586 1603485 1726830 2244879 2494310 3206970 3741465 4489758 7482930 11224395 22448790