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220141012 = 227135311411
BaseRepresentation
bin11010001111100…
…01010111010100
3120100020022200211
431013301113110
5422324003022
633502215204
75312111350
oct1507612724
9510208624
10220141012
1110329a223
1261884504
13367b9970
1421346460
15144d6e77
hexd1f15d4

220141012 has 48 divisors (see below), whose sum is σ = 483138432. Its totient is φ = 85438080.

The previous prime is 220141003. The next prime is 220141057. The reversal of 220141012 is 210141022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 220140983 and 220141001.

It is a congruent number.

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, 13587 + ... + 24997.

It is an arithmetic number, because the mean of its divisors is an integer number (10065384).

Almost surely, 2220141012 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 220141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241569216).

220141012 is an abundant number, since it is smaller than the sum of its proper divisors (262997420).

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

220141012 is a wasteful number, since it uses less digits than its factorization.

220141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11486 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 220141012 is about 14837.1497262783. The cubic root of 220141012 is about 603.8100253380.

Adding to 220141012 its reverse (210141022), we get a palindrome (430282034).

The spelling of 220141012 in words is "two hundred twenty million, one hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1378 1484 2756 4823 9646 11411 19292 22822 45644 79877 148343 159754 296686 319508 593372 604783 1038401 1209566 2076802 2419132 4153604 4233481 7862179 8466962 15724358 16933924 31448716 55035253 110070506 220141012