Search a number
-
+
1023000228 = 2232175772897
BaseRepresentation
bin111100111110011…
…011111010100100
32122021221210111100
4330332123322210
54043342001403
6245302240100
734231233645
oct7476337244
92567853440
101023000228
11485503238
12246726030
13133c310a3
1499c176cc
155ec262a3
hex3cf9bea4

1023000228 has 72 divisors (see below), whose sum is σ = 2743722072. Its totient is φ = 320274432.

The previous prime is 1023000227. The next prime is 1023000241. The reversal of 1023000228 is 8220003201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394896384 + 628103844 = 19872^2 + 25062^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1023000228.

It is not an unprimeable number, because it can be changed into a prime (1023000221) 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 23 ways as a sum of consecutive naturals, for example, 351676 + ... + 354572.

It is an arithmetic number, because the mean of its divisors is an integer number (38107251).

Almost surely, 21023000228 is an apocalyptic number.

1023000228 is a gapful number since it is divisible by the number (18) 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 1023000228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371861036).

1023000228 is an abundant number, since it is smaller than the sum of its proper divisors (1720721844).

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

1023000228 is a wasteful number, since it uses less digits than its factorization.

1023000228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1023000228 is about 31984.3747476795. The cubic root of 1023000228 is about 1007.6087034696.

Adding to 1023000228 its reverse (8220003201), we get a palindrome (9243003429).

The spelling of 1023000228 in words is "one billion, twenty-three million, two hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 577 612 1154 1731 2308 2897 3462 5193 5794 6924 8691 9809 10386 11588 17382 19618 20772 26073 29427 34764 39236 49249 52146 58854 88281 98498 104292 117708 147747 176562 196996 295494 353124 443241 590988 886482 1671569 1772964 3343138 5014707 6686276 10029414 15044121 20058828 28416673 30088242 56833346 60176484 85250019 113666692 170500038 255750057 341000076 511500114 1023000228