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2212000220 = 2251721093511
BaseRepresentation
bin1000001111011000…
…0111000111011100
312201011021020212002
42003312013013130
514012233001340
61003254501432
7105546456143
oct20366070734
95634236762
102212000220
11a35686561
12518964878
13293373791
1416dac275a
15ce2dc715
hex83d871dc

2212000220 has 72 divisors (see below), whose sum is σ = 4981210080. Its totient is φ = 824878080.

The previous prime is 2212000207. The next prime is 2212000249. The reversal of 2212000220 is 220002122.

2212000220 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, 628265 + ... + 631775.

Almost surely, 22212000220 is an apocalyptic number.

2212000220 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 2212000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490605040).

2212000220 is an abundant number, since it is smaller than the sum of its proper divisors (2769209860).

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

2212000220 is a wasteful number, since it uses less digits than its factorization.

2212000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2212000220 is about 47031.9064040572. The cubic root of 2212000220 is about 1302.9519152747.

Adding to 2212000220 its reverse (220002122), we get a palindrome (2432002342).

The spelling of 2212000220 in words is "two billion, two hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 289 340 436 545 578 1090 1156 1445 1853 2180 2890 3511 3706 5780 7022 7412 9265 14044 17555 18530 31501 35110 37060 59687 63002 70220 119374 126004 157505 238748 298435 315010 382699 596870 630020 765398 1014679 1193740 1530796 1913495 2029358 3826990 4058716 5073395 6505883 7653980 10146790 13011766 20293580 26023532 32529415 65058830 110600011 130117660 221200022 442400044 553000055 1106000110 2212000220