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1120223052 = 22321319532377
BaseRepresentation
bin100001011000101…
…0011111101001100
32220001220020010200
41002301103331030
54243234114202
6303054133500
736521511264
oct10261237514
92801806120
101120223052
11525378183
122731b1290
1314b1117a0
14a8ac47a4
156852ce1c
hex42c53f4c

1120223052 has 144 divisors (see below), whose sum is σ = 3271937760. Its totient is φ = 320246784.

The previous prime is 1120223023. The next prime is 1120223059. The reversal of 1120223052 is 2503220211.

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 (1120223059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470088 + ... + 472464.

It is an arithmetic number, because the mean of its divisors is an integer number (22721790).

Almost surely, 21120223052 is an apocalyptic number.

1120223052 is a gapful number since it is divisible by the number (12) 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 1120223052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635968880).

1120223052 is an abundant number, since it is smaller than the sum of its proper divisors (2151714708).

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

1120223052 is a wasteful number, since it uses less digits than its factorization.

1120223052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1120223052 is about 33469.7333721080. The cubic root of 1120223052 is about 1038.5677560438.

Adding to 1120223052 its reverse (2503220211), we get a palindrome (3623443263).

The spelling of 1120223052 in words is "one billion, one hundred twenty million, two hundred twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 53 57 76 78 106 114 117 156 159 171 212 228 234 247 318 342 468 477 494 636 684 689 741 954 988 1007 1378 1482 1908 2014 2067 2223 2377 2756 2964 3021 4028 4134 4446 4754 6042 6201 7131 8268 8892 9063 9508 12084 12402 13091 14262 18126 21393 24804 26182 28524 30901 36252 39273 42786 45163 52364 61802 78546 85572 90326 92703 117819 123604 125981 135489 157092 180652 185406 235638 251962 270978 278109 370812 377943 406467 471276 503924 541956 556218 587119 755886 812934 1112436 1133829 1174238 1511772 1625868 1637753 1761357 2267658 2348476 2393639 3275506 3522714 4535316 4787278 4913259 5284071 6551012 7045428 7180917 9574556 9826518 10568142 14361834 14739777 19653036 21136284 21542751 28723668 29479554 31117307 43085502 58959108 62234614 86171004 93351921 124469228 186703842 280055763 373407684 560111526 1120223052