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1042440224 = 257233161107
BaseRepresentation
bin111110001000100…
…110000000100000
32200122112110011012
4332020212000200
54113331041344
6251235040052
734555411220
oct7610460040
92618473135
101042440224
11495480851
12251140028
13137c79647
149c638080
15617b629e
hex3e226020

1042440224 has 192 divisors, whose sum is σ = 2591834112. Its totient is φ = 402969600.

The previous prime is 1042440209. The next prime is 1042440227. The reversal of 1042440224 is 4220442401.

It is a super-2 number, since 2×10424402242 = 2173363241226340352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1042440224.

It is not an unprimeable number, because it can be changed into a prime (1042440227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9742379 + ... + 9742485.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 21042440224 is an apocalyptic number.

1042440224 is a gapful number since it is divisible by the number (14) 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 1042440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295917056).

1042440224 is an abundant number, since it is smaller than the sum of its proper divisors (1549393888).

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

1042440224 is a wasteful number, since it uses less digits than its factorization.

1042440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1042440224 is about 32286.8428930424. The cubic root of 1042440224 is about 1013.9512002108.

Adding to 1042440224 its reverse (4220442401), we get a palindrome (5262882625).

The spelling of 1042440224 in words is "one billion, forty-two million, four hundred forty thousand, two hundred twenty-four".