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1001223144 = 233229479513
BaseRepresentation
bin111011101011010…
…111001111101000
32120202222101221200
4323223113033220
54022303120034
6243203404200
733545153625
oct7353271750
92522871850
101001223144
11474189849
1223b383660
1312c577b3c
1496d8934c
155cd73a99
hex3bad73e8

1001223144 has 48 divisors (see below), whose sum is σ = 2805156900. Its totient is φ = 322232064.

The previous prime is 1001223133. The next prime is 1001223149. The reversal of 1001223144 is 4413221001.

It can be written as a sum of positive squares in 2 ways, for example, as 1000963044 + 260100 = 31638^2 + 510^2 .

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 (1001223149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237669 + ... + 241844.

Almost surely, 21001223144 is an apocalyptic number.

It is an amenable number.

1001223144 is an abundant number, since it is smaller than the sum of its proper divisors (1803933756).

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

1001223144 is a wasteful number, since it uses less digits than its factorization.

1001223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479554 (or 479547 counting only the distinct ones).

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

The square root of 1001223144 is about 31642.1102962492. The cubic root of 1001223144 is about 1000.4075485483.

Adding to 1001223144 its reverse (4413221001), we get a palindrome (5414444145).

The spelling of 1001223144 in words is "one billion, one million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 479513 959026 1438539 1918052 2877078 3836104 4315617 5754156 8631234 11508312 13905877 17262468 27811754 34524936 41717631 55623508 83435262 111247016 125152893 166870524 250305786 333741048 500611572 1001223144