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222014340 = 223252235531
BaseRepresentation
bin11010011101110…
…10101110000100
3120110202111102100
431032322232010
5423313424330
634010312100
75334043062
oct1516725604
9513674370
10222014340
11104359729
1262428630
1336cc4542
14216b3032
1514757060
hexd3bab84

222014340 has 72 divisors (see below), whose sum is σ = 676585728. Its totient is φ = 58927680.

The previous prime is 222014267. The next prime is 222014341. The reversal of 222014340 is 43410222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222014341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37375 + ... + 42905.

It is an arithmetic number, because the mean of its divisors is an integer number (9397024).

Almost surely, 2222014340 is an apocalyptic number.

222014340 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 222014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338292864).

222014340 is an abundant number, since it is smaller than the sum of its proper divisors (454571388).

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

222014340 is a wasteful number, since it uses less digits than its factorization.

222014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222014340 is about 14900.1456368721. The cubic root of 222014340 is about 605.5179318181.

Adding to 222014340 its reverse (43410222), we get a palindrome (265424562).

The spelling of 222014340 in words is "two hundred twenty-two million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223 446 669 892 1115 1338 2007 2230 2676 3345 4014 4460 5531 6690 8028 10035 11062 13380 16593 20070 22124 27655 33186 40140 49779 55310 66372 82965 99558 110620 165930 199116 248895 331860 497790 995580 1233413 2466826 3700239 4933652 6167065 7400478 11100717 12334130 14800956 18501195 22201434 24668260 37002390 44402868 55503585 74004780 111007170 222014340