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1444222332 = 223373751631
BaseRepresentation
bin101011000010101…
…0001010101111100
310201122120002121000
41112011101111330
510424210103312
6355150410300
750534454510
oct12605212574
93648502530
101444222332
11681253683
12343800990
131a0293137
14d9b44140
1586bccadc
hex5615157c

1444222332 has 96 divisors (see below), whose sum is σ = 4394915840. Its totient is φ = 401474880.

The previous prime is 1444222321. The next prime is 1444222343. The reversal of 1444222332 is 2332224441.

1444222332 is a `hidden beast` number, since 1 + 4 + 4 + 422 + 233 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1444222321) and next prime (1444222343).

It is a super-3 number, since 3×14442223323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1444222296 and 1444222305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157 + ... + 53787.

Almost surely, 21444222332 is an apocalyptic number.

1444222332 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 1444222332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197457920).

1444222332 is an abundant number, since it is smaller than the sum of its proper divisors (2950693508).

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

1444222332 is a wasteful number, since it uses less digits than its factorization.

1444222332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51688 (or 51680 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 1444222332 is about 38002.9253084549. The cubic root of 1444222332 is about 1130.3458705785.

Adding to 1444222332 its reverse (2332224441), we get a palindrome (3776446773).

The spelling of 1444222332 in words is "one billion, four hundred forty-four million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 9324 13986 27972 51631 103262 154893 206524 309786 361417 464679 619572 722834 929358 1084251 1394037 1445668 1858716 1910347 2168502 2788074 3252753 3820694 4337004 5576148 5731041 6505506 7641388 9758259 11462082 13011012 13372429 17193123 19516518 22924164 26744858 34386246 39033036 40117287 51579369 53489716 68772492 80234574 103158738 120351861 160469148 206317476 240703722 361055583 481407444 722111166 1444222332