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220115252 = 227217312131
BaseRepresentation
bin11010001111010…
…11000100110100
3120100012000100202
431013223010310
5422322142002
633501500032
75311643300
oct1507530464
9510160322
10220115252
11103281935
1261871618
13367ab016
142133ad00
15144ce502
hexd1eb134

220115252 has 72 divisors (see below), whose sum is σ = 489984768. Its totient is φ = 85881600.

The previous prime is 220115227. The next prime is 220115263. The reversal of 220115252 is 252511022.

It is a happy number.

220115252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102227 + ... + 104357.

It is an arithmetic number, because the mean of its divisors is an integer number (6805344).

Almost surely, 2220115252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220115252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244992384).

220115252 is an abundant number, since it is smaller than the sum of its proper divisors (269869516).

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

220115252 is a wasteful number, since it uses less digits than its factorization.

220115252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 220115252 is about 14836.2816096217. The cubic root of 220115252 is about 603.7864726269.

Adding to 220115252 its reverse (252511022), we get a palindrome (472626274).

The spelling of 220115252 in words is "two hundred twenty million, one hundred fifteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 119 124 196 217 238 434 476 527 833 868 1054 1519 1666 2108 2131 3038 3332 3689 4262 6076 7378 8524 14756 14917 25823 29834 36227 51646 59668 66061 72454 103292 104419 132122 144908 208838 253589 264244 417676 462427 507178 924854 1014356 1123037 1775123 1849708 2246074 3236989 3550246 4492148 6473978 7100492 7861259 12947956 15722518 31445036 55028813 110057626 220115252