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1001226240 = 215325797
BaseRepresentation
bin111011101011011…
…000000000000000
32120202222120012100
4323223120000000
54022303214430
6243203430400
733545165640
oct7353300000
92522876170
101001226240
11474191103
1223b385400
1312c579381
1496d8a520
155cd74960
hex3bad8000

1001226240 has 384 divisors, whose sum is σ = 4007596320. Its totient is φ = 226492416.

The previous prime is 1001226227. The next prime is 1001226241. The reversal of 1001226240 is 426221001.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001226241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321872 + ... + 10321968.

Almost surely, 21001226240 is an apocalyptic number.

1001226240 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 1001226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003798160).

1001226240 is an abundant number, since it is smaller than the sum of its proper divisors (3006370080).

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

1001226240 is an frugal number, since it uses more digits than its factorization.

1001226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

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

The square root of 1001226240 is about 31642.1592183593. The cubic root of 1001226240 is about 1000.4085797066.

Adding to 1001226240 its reverse (426221001), we get a palindrome (1427447241).

The spelling of 1001226240 in words is "one billion, one million, two hundred twenty-six thousand, two hundred forty".