Search a number
-
+
2221706800 = 245243129169
BaseRepresentation
bin1000010001101100…
…1000111000110000
312201211112101210001
42010123020320300
514022224104200
61004242515344
7106025124205
oct20433107060
95654471701
102221706800
11a40106225
12520065b54
13295391911
141710cbcac
15d00a876a
hex846c8e30

2221706800 has 60 divisors (see below), whose sum is σ = 5461824280. Its totient is φ = 868008960.

The previous prime is 2221706771. The next prime is 2221706813. The reversal of 2221706800 is 86071222.

It is a super-2 number, since 2×22217068002 = 9871962210332480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47385 + ... + 81784.

Almost surely, 22221706800 is an apocalyptic number.

2221706800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221706800 is an abundant number, since it is smaller than the sum of its proper divisors (3240117480).

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

2221706800 is a wasteful number, since it uses less digits than its factorization.

2221706800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129230 (or 129219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2221706800 is about 47134.9848838419. The cubic root of 2221706800 is about 1304.8549820995.

The spelling of 2221706800 in words is "two billion, two hundred twenty-one million, seven hundred six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 17200 129169 258338 516676 645845 1033352 1291690 2066704 2583380 3229225 5166760 5554267 6458450 10333520 11108534 12916900 22217068 25833800 27771335 44434136 51667600 55542670 88868272 111085340 138856675 222170680 277713350 444341360 555426700 1110853400 2221706800