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1229442240 = 263513294379
BaseRepresentation
bin100100101000111…
…1100110011000000
310011200102010200210
41021101330303000
510004214122430
6321555114120
742316041465
oct11121746300
93150363623
101229442240
11580a96174
122a38a2940
13167932620
14b93d566c
1572e042b0
hex4947ccc0

1229442240 has 448 divisors, whose sum is σ = 4506163200. Its totient is φ = 281788416.

The previous prime is 1229442239. The next prime is 1229442241. The reversal of 1229442240 is 422449221.

It is an interprime number because it is at equal distance from previous prime (1229442239) and next prime (1229442241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1229442198 and 1229442207.

It is not an unprimeable number, because it can be changed into a prime (1229442241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15562521 + ... + 15562599.

It is an arithmetic number, because the mean of its divisors is an integer number (10058400).

Almost surely, 21229442240 is an apocalyptic number.

1229442240 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 1229442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253081600).

1229442240 is an abundant number, since it is smaller than the sum of its proper divisors (3276720960).

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

1229442240 is a wasteful number, since it uses less digits than its factorization.

1229442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1229442240 is about 35063.4031434486. The cubic root of 1229442240 is about 1071.2792920658.

The spelling of 1229442240 in words is "one billion, two hundred twenty-nine million, four hundred forty-two thousand, two hundred forty".