Search a number
-
+
1006062228 = 223323439419
BaseRepresentation
bin111011111101110…
…100101010010100
32121010002020221000
4323331310222110
54030022442403
6243455223300
733634250013
oct7375645224
92533066830
101006062228
11476994496
12240b17b30
131305805c2
1497888a7a
155d4cc7a3
hex3bf74a94

1006062228 has 96 divisors (see below), whose sum is σ = 2785305600. Its totient is φ = 313280352.

The previous prime is 1006062221. The next prime is 1006062241. The reversal of 1006062228 is 8222606001.

1006062228 is a `hidden beast` number, since 10 + 0 + 6 + 0 + 622 + 28 = 666.

It is a super-2 number, since 2×10060622282 = 2024322413216647968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006062221) 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, 102103 + ... + 111521.

It is an arithmetic number, because the mean of its divisors is an integer number (29013600).

Almost surely, 21006062228 is an apocalyptic number.

1006062228 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 1006062228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392652800).

1006062228 is an abundant number, since it is smaller than the sum of its proper divisors (1779243372).

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

1006062228 is a wasteful number, since it uses less digits than its factorization.

1006062228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1006062228 is about 31718.4840116926. The cubic root of 1006062228 is about 1002.0166729629.

Adding to 1006062228 its reverse (8222606001), we get a palindrome (9228668229).

The spelling of 1006062228 in words is "one billion, six million, sixty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 86 92 108 129 138 172 207 258 276 387 414 516 621 774 828 989 1161 1242 1548 1978 2322 2484 2967 3956 4644 5934 8901 9419 11868 17802 18838 26703 28257 35604 37676 53406 56514 84771 106812 113028 169542 216637 254313 339084 405017 433274 508626 649911 810034 866548 1017252 1215051 1299822 1620068 1949733 2430102 2599644 3645153 3899466 4860204 5849199 7290306 7798932 9315391 10935459 11698398 14580612 18630782 21870918 23396796 27946173 37261564 43741836 55892346 83838519 111784692 167677038 251515557 335354076 503031114 1006062228