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1142022240 = 253659791
BaseRepresentation
bin100010000010001…
…1110000001100000
32221120220202000000
41010010132001200
54314324202430
6305153300000
740205012622
oct10404360140
92846822000
101142022240
11536707237
1227a564600
131527a4b08
14ab95ac12
156a3d6e60
hex4411e060

1142022240 has 168 divisors, whose sum is σ = 4045603968. Its totient is φ = 304508160.

The previous prime is 1142022229. The next prime is 1142022247. The reversal of 1142022240 is 422202411.

1142022240 is a `hidden beast` number, since 1 + 1 + 420 + 2 + 2 + 240 = 666.

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 (1142022247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 111745 + ... + 121535.

It is an arithmetic number, because the mean of its divisors is an integer number (24080976).

Almost surely, 21142022240 is an apocalyptic number.

1142022240 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 1142022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022801984).

1142022240 is an abundant number, since it is smaller than the sum of its proper divisors (2903581728).

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

1142022240 is an frugal number, since it uses more digits than its factorization.

1142022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1142022240 is about 33793.8195532852. The cubic root of 1142022240 is about 1045.2612580604.

Adding to 1142022240 its reverse (422202411), we get a palindrome (1564224651).

The spelling of 1142022240 in words is "one billion, one hundred forty-two million, twenty-two thousand, two hundred forty".