Search a number
-
+
6388228836 = 22331110949333
BaseRepresentation
bin1011111001100010…
…01010001011100100
3121111012120122112000
411330301022023210
5101040341310321
62533521525300
7314210022603
oct57461121344
917435518460
106388228836
112788a96970
1212a34a3830
137aa648582
144485cba3a
15275c73826
hex17cc4a2e4

6388228836 has 96 divisors (see below), whose sum is σ = 18233846400. Its totient is φ = 1918028160.

The previous prime is 6388228799. The next prime is 6388228853.

6388228836 is a `hidden beast` number, since 6 + 388 + 228 + 8 + 36 = 666.

6388228836 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63882288362 = 81618935322203829792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104826 + ... + 154158.

It is an arithmetic number, because the mean of its divisors is an integer number (189935900).

Almost surely, 26388228836 is an apocalyptic number.

6388228836 is a gapful number since it is divisible by the number (66) 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 6388228836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116923200).

6388228836 is an abundant number, since it is smaller than the sum of its proper divisors (11845617564).

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

6388228836 is a wasteful number, since it uses less digits than its factorization.

6388228836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49466 (or 49458 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 6388228836 is about 79926.3963656563. The cubic root of 6388228836 is about 1855.4965660592.

The spelling of 6388228836 in words is "six billion, three hundred eighty-eight million, two hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 109 132 198 218 297 327 396 436 594 654 981 1188 1199 1308 1962 2398 2943 3597 3924 4796 5886 7194 10791 11772 14388 21582 32373 43164 49333 64746 98666 129492 147999 197332 295998 443997 542663 591996 887994 1085326 1331991 1627989 1775988 2170652 2663982 3255978 4883967 5327964 5377297 6511956 9767934 10754594 14651901 16131891 19535868 21509188 29303802 32263782 48395673 58607604 59150267 64527564 96791346 118300534 145187019 177450801 193582692 236601068 290374038 354901602 532352403 580748076 709803204 1064704806 1597057209 2129409612 3194114418 6388228836