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2206000000 = 27561103
BaseRepresentation
bin1000001101111100…
…1110001110000000
312200201222102002201
42003133032032000
514004214000000
61002522122544
7105444455611
oct20337161600
95621872081
102206000000
11a322584a6
12516950454
13292052659
1416cd9dc08
15cda0496a
hex837ce380

2206000000 has 112 divisors (see below), whose sum is σ = 5498367120. Its totient is φ = 881600000.

The previous prime is 2205999967. The next prime is 2206000001. The reversal of 2206000000 is 6022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999449 + ... + 2000551.

Almost surely, 22206000000 is an apocalyptic number.

2206000000 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 2206000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749183560).

2206000000 is an abundant number, since it is smaller than the sum of its proper divisors (3292367120).

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

2206000000 is an frugal number, since it uses more digits than its factorization.

2206000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2206000000 is about 46968.0742632695. The cubic root of 2206000000 is about 1301.7727294688.

Adding to 2206000000 its reverse (6022), we get a palindrome (2206006022).

The spelling of 2206000000 in words is "two billion, two hundred six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1103 1250 1600 2000 2206 2500 3125 3200 4000 4412 5000 5515 6250 8000 8824 10000 11030 12500 15625 16000 17648 20000 22060 25000 27575 31250 35296 40000 44120 50000 55150 62500 70592 80000 88240 100000 110300 125000 137875 141184 176480 200000 220600 250000 275750 352960 400000 441200 500000 551500 689375 705920 882400 1000000 1103000 1378750 1764800 2000000 2206000 2757500 3446875 3529600 4412000 5515000 6893750 8824000 11030000 13787500 17234375 17648000 22060000 27575000 34468750 44120000 55150000 68937500 88240000 110300000 137875000 220600000 275750000 441200000 551500000 1103000000 2206000000