[go: up one dir, main page]

Search a number
-
+
1223231022 = 2321317331929
BaseRepresentation
bin100100011101001…
…0000011000101110
310011020201120111200
41020322100120232
510001121343042
6321214030330
742212202126
oct11072203056
93136646450
101223231022
11578533632
122a17a83a6
13166569450
14b8659c86
15725c8c4c
hex48e9062e

1223231022 has 96 divisors (see below), whose sum is σ = 3034493280. Its totient is φ = 352788480.

The previous prime is 1223231021. The next prime is 1223231059. The reversal of 1223231022 is 2201323221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1223230986 and 1223231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223231021) 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, 1316254 + ... + 1317182.

It is an arithmetic number, because the mean of its divisors is an integer number (31609305).

Almost surely, 21223231022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223231022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517246640).

1223231022 is an abundant number, since it is smaller than the sum of its proper divisors (1811262258).

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

1223231022 is a wasteful number, since it uses less digits than its factorization.

1223231022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223231022 is about 34974.7197558465. The cubic root of 1223231022 is about 1069.4721890969.

Adding to 1223231022 its reverse (2201323221), we get a palindrome (3424554243).

The spelling of 1223231022 in words is "one billion, two hundred twenty-three million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 331 442 662 663 929 993 1326 1858 1986 1989 2787 2979 3978 4303 5574 5627 5958 8361 8606 11254 12077 12909 15793 16722 16881 24154 25818 31586 33762 36231 38727 47379 50643 72462 73151 77454 94758 101286 108693 142137 146302 205309 217386 219453 284274 307499 410618 438906 614998 615927 658359 922497 1231854 1316718 1844994 1847781 2767491 3695562 3997487 5227483 5534982 7994974 10454966 11992461 15682449 23984922 31364898 35977383 47047347 67957279 71954766 94094694 135914558 203871837 407743674 611615511 1223231022