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231222220 = 225232917333
BaseRepresentation
bin11011100100000…
…10101111001100
3121010002022020221
431302002233030
5433143102340
634535521124
75505233155
oct1562025714
9533068227
10231222220
11109578749
12655291a4
1338b996a8
14229cc92c
151547544a
hexdc82bcc

231222220 has 48 divisors (see below), whose sum is σ = 524180160. Its totient is φ = 85412096.

The previous prime is 231222209. The next prime is 231222259. The reversal of 231222220 is 22222132.

231222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231222194 and 231222203.

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, 4674 + ... + 22006.

It is an arithmetic number, because the mean of its divisors is an integer number (10920420).

Almost surely, 2231222220 is an apocalyptic number.

231222220 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 231222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262090080).

231222220 is an abundant number, since it is smaller than the sum of its proper divisors (292957940).

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

231222220 is a wasteful number, since it uses less digits than its factorization.

231222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17394 (or 17392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 231222220 is about 15205.9928975388. The cubic root of 231222220 is about 613.7759335486.

Adding to 231222220 its reverse (22222132), we get a palindrome (253444352).

The spelling of 231222220 in words is "two hundred thirty-one million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 17333 34666 69332 86665 173330 346660 398659 502657 797318 1005314 1594636 1993295 2010628 2513285 3986590 5026570 7973180 10053140 11561111 23122222 46244444 57805555 115611110 231222220