Search a number
-
+
2223211100 = 2252118922709
BaseRepresentation
bin1000010010000011…
…1000001001011100
312201221100211021212
42010200320021130
514023120223400
61004335043552
7106043661005
oct20440701134
95657324255
102223211100
11a40a43450
125206705b8
1329579a536
141713a01ac
15d02a4335
hex8483825c

2223211100 has 72 divisors (see below), whose sum is σ = 5322315600. Its totient is φ = 799321600.

The previous prime is 2223211093. The next prime is 2223211129. The reversal of 2223211100 is 11123222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 86546 + ... + 109254.

It is an arithmetic number, because the mean of its divisors is an integer number (73921050).

Almost surely, 22223211100 is an apocalyptic number.

2223211100 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 2223211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661157800).

2223211100 is an abundant number, since it is smaller than the sum of its proper divisors (3099104500).

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

2223211100 is a wasteful number, since it uses less digits than its factorization.

2223211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2223211100 is about 47150.9395452519. The cubic root of 2223211100 is about 1305.1494179654.

Adding to 2223211100 its reverse (11123222), we get a palindrome (2234334322).

The spelling of 2223211100 in words is "two billion, two hundred twenty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3916 4450 4895 8900 9790 19580 22709 24475 45418 48950 90836 97900 113545 227090 249799 454180 499598 567725 999196 1135450 1248995 2021101 2270900 2497990 4042202 4995980 6244975 8084404 10105505 12489950 20211010 22232111 24979900 40422020 44464222 50527525 88928444 101055050 111160555 202110100 222321110 444642220 555802775 1111605550 2223211100