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220211028 = 223313914669
BaseRepresentation
bin11010010000000…
…10011101010100
3120100100212202000
431020002131110
5422333223103
633503515300
75312522442
oct1510023524
9510325660
10220211028
11103337894
12618b8b30
13368127ab
1421363b92
15144ecaa3
hexd202754

220211028 has 48 divisors (see below), whose sum is σ = 575064000. Its totient is φ = 72870624.

The previous prime is 220211021. The next prime is 220211051. The reversal of 220211028 is 820112022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 220211028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7678 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (11980500).

Almost surely, 2220211028 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 220211028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287532000).

220211028 is an abundant number, since it is smaller than the sum of its proper divisors (354852972).

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

220211028 is a wasteful number, since it uses less digits than its factorization.

220211028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 220211028 is about 14839.5090215276. The cubic root of 220211028 is about 603.8740326170.

The spelling of 220211028 in words is "two hundred twenty million, two hundred eleven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 14669 15012 29338 44007 58676 88014 132021 176028 264042 396063 528084 792126 1584252 2038991 4077982 6116973 8155964 12233946 18350919 24467892 36701838 55052757 73403676 110105514 220211028