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214522220 = 225111039467
BaseRepresentation
bin11001100100101…
…01100101101100
3112221122212011102
430302111211230
5414404202340
633141542232
75213260133
oct1462254554
9487585142
10214522220
111001017a0
125ba14978
13355a0333
14206c291a
1513c77215
hexcc9596c

214522220 has 48 divisors (see below), whose sum is σ = 496274688. Its totient is φ = 77242560.

The previous prime is 214522213. The next prime is 214522237. The reversal of 214522220 is 22225412.

214522220 is digitally balanced in base 2, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 214522192 and 214522201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17927 + ... + 27393.

It is an arithmetic number, because the mean of its divisors is an integer number (10339056).

Almost surely, 2214522220 is an apocalyptic number.

214522220 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 214522220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248137344).

214522220 is an abundant number, since it is smaller than the sum of its proper divisors (281752468).

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

214522220 is a wasteful number, since it uses less digits than its factorization.

214522220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 214522220 is about 14646.5770745250. The cubic root of 214522220 is about 598.6285527946.

Adding to 214522220 its reverse (22225412), we get a palindrome (236747632).

The spelling of 214522220 in words is "two hundred fourteen million, five hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 9467 11330 18934 22660 37868 47335 94670 104137 189340 208274 416548 520685 975101 1041370 1950202 2082740 3900404 4875505 9751010 10726111 19502020 21452222 42904444 53630555 107261110 214522220