Search a number
-
+
1101222234 = 2327531031601
BaseRepresentation
bin100000110100011…
…0101000101011010
32211202010212220200
41001220311011122
54223403102414
6301135003030
736201143310
oct10150650532
92752125820
101101222234
1151567a622
12268969476
131471bb0b8
14a637a0b0
1566a28109
hex41a3515a

1101222234 has 96 divisors (see below), whose sum is σ = 2807011584. Its totient is φ = 305510400.

The previous prime is 1101222233. The next prime is 1101222253. The reversal of 1101222234 is 4322221011.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1101222233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687034 + ... + 688634.

It is an arithmetic number, because the mean of its divisors is an integer number (29239704).

Almost surely, 21101222234 is an apocalyptic number.

1101222234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101222234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403505792).

1101222234 is an abundant number, since it is smaller than the sum of its proper divisors (1705789350).

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

1101222234 is a wasteful number, since it uses less digits than its factorization.

1101222234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1101222234 is about 33184.6686588852. The cubic root of 1101222234 is about 1032.6623035917.

Adding to 1101222234 its reverse (4322221011), we get a palindrome (5423443245).

The spelling of 1101222234 in words is "one billion, one hundred one million, two hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 103 106 126 159 206 309 318 371 477 618 721 742 927 954 1113 1442 1601 1854 2163 2226 3202 3339 4326 4803 5459 6489 6678 9606 10918 11207 12978 14409 16377 22414 28818 32754 33621 38213 49131 67242 76426 84853 98262 100863 114639 164903 169706 201726 229278 254559 329806 343917 494709 509118 593971 687834 763677 989418 1154321 1187942 1484127 1527354 1781913 2308642 2968254 3462963 3563826 5345739 6925926 8739859 10388889 10691478 17479718 20777778 26219577 52439154 61179013 78658731 122358026 157317462 183537039 367074078 550611117 1101222234