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222246640 = 245711109331
BaseRepresentation
bin11010011111100…
…11011011110000
3120111012022002001
431033303123300
5423343343030
634015303344
75336031250
oct1517633360
9514168061
10222246640
111044a8210
126251ab54
13370761b5
1421733960
15147a0cca
hexd3f36f0

222246640 has 160 divisors (see below), whose sum is σ = 652101120. Its totient is φ = 68428800.

The previous prime is 222246613. The next prime is 222246643. The reversal of 222246640 is 46642222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 222246599 and 222246608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222246643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671275 + ... + 671605.

It is an arithmetic number, because the mean of its divisors is an integer number (4075632).

Almost surely, 2222246640 is an apocalyptic number.

222246640 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 222246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326050560).

222246640 is an abundant number, since it is smaller than the sum of its proper divisors (429854480).

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

222246640 is a wasteful number, since it uses less digits than its factorization.

222246640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 222246640 is about 14907.9388246665. The cubic root of 222246640 is about 605.7290484883.

Adding to 222246640 its reverse (46642222), we get a palindrome (268888862).

The spelling of 222246640 in words is "two hundred twenty-two million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 109 110 112 140 154 176 218 220 280 308 331 385 436 440 545 560 616 662 763 770 872 880 1090 1199 1232 1324 1526 1540 1655 1744 2180 2317 2398 2648 3052 3080 3310 3641 3815 4360 4634 4796 5296 5995 6104 6160 6620 7282 7630 8393 8720 9268 9592 11585 11990 12208 13240 14564 15260 16786 18205 18536 19184 23170 23980 25487 26480 29128 30520 33572 36079 36410 37072 41965 46340 47960 50974 58256 61040 67144 72158 72820 83930 92680 95920 101948 127435 134288 144316 145640 167860 180395 185360 203896 252553 254870 288632 291280 335720 360790 396869 407792 505106 509740 577264 671440 721580 793738 1010212 1019480 1262765 1443160 1587476 1984345 2020424 2038960 2525530 2778083 2886320 3174952 3968690 4040848 5051060 5556166 6349904 7937380 10102120 11112332 13890415 15874760 20204240 22224664 27780830 31749520 44449328 55561660 111123320 222246640