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1022145140 = 22551107257
BaseRepresentation
bin111100111011001…
…011001001110100
32122020100100112102
4330323023021310
54043132121030
6245232041232
734221042662
oct7473131164
92566310472
101022145140
11484a79855
12246393218
131339c1b13
1499a73c32
155eb07c45
hex3cecb274

1022145140 has 12 divisors (see below), whose sum is σ = 2146504836. Its totient is φ = 408858048.

The previous prime is 1022145133. The next prime is 1022145151. The reversal of 1022145140 is 415412201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 650658064 + 371487076 = 25508^2 + 19274^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 51107257 = 1022145140 / (1 + 0 + 2 + 2 + 1 + 4 + 5 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25553609 + ... + 25553648.

It is an arithmetic number, because the mean of its divisors is an integer number (178875403).

Almost surely, 21022145140 is an apocalyptic number.

1022145140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022145140 is an abundant number, since it is smaller than the sum of its proper divisors (1124359696).

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

1022145140 is a wasteful number, since it uses less digits than its factorization.

1022145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51107266 (or 51107264 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1022145140 is about 31971.0046761124. The cubic root of 1022145140 is about 1007.3278842813.

Adding to 1022145140 its reverse (415412201), we get a palindrome (1437557341).

The spelling of 1022145140 in words is "one billion, twenty-two million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 51107257 102214514 204429028 255536285 511072570 1022145140