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1001222040 = 2335713277331
BaseRepresentation
bin111011101011010…
…110111110011000
32120202222100102210
4323223112332120
54022303101130
6243203355120
733545150460
oct7353267630
92522870383
101001222040
11474188a35
1223b382aa0
1312c5774a0
1496d88ba0
155cd735b0
hex3bad6f98

1001222040 has 256 divisors, whose sum is σ = 3721374720. Its totient is φ = 209848320.

The previous prime is 1001222023. The next prime is 1001222041. The reversal of 1001222040 is 402221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001222041) 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 63 ways as a sum of consecutive naturals, for example, 3024675 + ... + 3025005.

It is an arithmetic number, because the mean of its divisors is an integer number (14536620).

Almost surely, 21001222040 is an apocalyptic number.

1001222040 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 1001222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860687360).

1001222040 is an abundant number, since it is smaller than the sum of its proper divisors (2720152680).

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

1001222040 is a wasteful number, since it uses less digits than its factorization.

1001222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1001222040 is about 31642.0928511374. The cubic root of 1001222040 is about 1000.4071808479.

Adding to 1001222040 its reverse (402221001), we get a palindrome (1403443041).

The spelling of 1001222040 in words is "one billion, one million, two hundred twenty-two thousand, forty".