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225522220 = 225711213313
BaseRepresentation
bin11010111000100…
…11001000101100
3120201100201022211
431130103020230
5430213202340
634213420204
75405623120
oct1534231054
9521321284
10225522220
11106335200
126363a664
1337952101
1421d47580
1514beb5ea
hexd71322c

225522220 has 72 divisors (see below), whose sum is σ = 594976032. Its totient is φ = 70287360.

The previous prime is 225522217. The next prime is 225522247. The reversal of 225522220 is 22225522.

225522220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 225522191 and 225522200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10284 + ... + 23596.

It is an arithmetic number, because the mean of its divisors is an integer number (8263556).

Almost surely, 2225522220 is an apocalyptic number.

225522220 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 225522220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297488016).

225522220 is an abundant number, since it is smaller than the sum of its proper divisors (369453812).

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

225522220 is a wasteful number, since it uses less digits than its factorization.

225522220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 225522220 is about 15017.3972445294. The cubic root of 225522220 is about 608.6903911657.

Adding to 225522220 its reverse (22225522), we get a palindrome (247747742).

The spelling of 225522220 in words is "two hundred twenty-five million, five hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 13313 16940 26626 53252 66565 93191 133130 146443 186382 266260 292886 372764 465955 585772 732215 931910 1025101 1464430 1610873 1863820 2050202 2928860 3221746 4100404 5125505 6443492 8054365 10251010 11276111 16108730 20502020 22552222 32217460 45104444 56380555 112761110 225522220