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222155460 = 223851693
BaseRepresentation
bin11010011110111…
…01001011000100
3120111000200000000
431033131023010
5423332433320
634013321300
75335201362
oct1517351304
9514020000
10222155460
1110444575a
1262496230
1337043847
142170c632
1514783c90
hexd3dd2c4

222155460 has 108 divisors (see below), whose sum is σ = 700167468. Its totient is φ = 59206464.

The previous prime is 222155431. The next prime is 222155477. The reversal of 222155460 is 64551222.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 139854276 = 9072^2 + 11826^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130374 + ... + 132066.

Almost surely, 2222155460 is an apocalyptic number.

222155460 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 222155460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350083734).

222155460 is an abundant number, since it is smaller than the sum of its proper divisors (478012008).

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

222155460 is an equidigital number, since it uses as much as digits as its factorization.

222155460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 222155460 is about 14904.8804087789. The cubic root of 222155460 is about 605.6462006975.

The spelling of 222155460 in words is "two hundred twenty-two million, one hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 1693 2187 2430 2916 3386 3645 4374 4860 5079 6561 6772 7290 8465 8748 10158 10935 13122 14580 15237 16930 20316 21870 25395 26244 30474 32805 33860 43740 45711 50790 60948 65610 76185 91422 101580 131220 137133 152370 182844 228555 274266 304740 411399 457110 548532 685665 822798 914220 1234197 1371330 1645596 2056995 2468394 2742660 3702591 4113990 4936788 6170985 7405182 8227980 11107773 12341970 14810364 18512955 22215546 24683940 37025910 44431092 55538865 74051820 111077730 222155460