Search a number
-
+
1244231120 = 2451110113999
BaseRepresentation
bin100101000101001…
…0111010111010000
310012201020111020002
41022022113113100
510022010343440
6323244105132
742555534656
oct11212272720
93181214202
101244231120
11589377290
122a88351a8
1316aa0cb42
14bb364dd6
1574376115
hex4a2975d0

1244231120 has 80 divisors (see below), whose sum is σ = 3187296000. Its totient is φ = 447936000.

The previous prime is 1244231099. The next prime is 1244231137. The reversal of 1244231120 is 211324421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12442311202 = 3096222159952908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1244231092 and 1244231101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81881 + ... + 95879.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 21244231120 is an apocalyptic number.

1244231120 is a gapful number since it is divisible by the number (10) 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 1244231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

1244231120 is an abundant number, since it is smaller than the sum of its proper divisors (1943064880).

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

1244231120 is a wasteful number, since it uses less digits than its factorization.

1244231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14124 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1244231120 is about 35273.6604281438. The cubic root of 1244231120 is about 1075.5576324500.

Adding to 1244231120 its reverse (211324421), we get a palindrome (1455555541).

The spelling of 1244231120 in words is "one billion, two hundred forty-four million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 13999 17776 22220 27998 44440 55996 69995 88880 111992 139990 153989 223984 279980 307978 559960 615956 769945 1119920 1231912 1413899 1539890 2463824 2827798 3079780 5655596 6159560 7069495 11311192 12319120 14138990 15552889 22622384 28277980 31105778 56555960 62211556 77764445 113111920 124423112 155528890 248846224 311057780 622115560 1244231120