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6223104 = 28323773
BaseRepresentation
bin10111101111010100000000
3102201011111100
4113233110000
53043114404
6341214400
7103616106
oct27572400
912634440
106223104
113570568
122101400
13139b714
14b7dc76
1582dd39
hex5ef500

6223104 has 108 divisors (see below), whose sum is σ = 18680116. Its totient is φ = 1990656.

The previous prime is 6223099. The next prime is 6223109. The reversal of 6223104 is 4013226.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6223099) and next prime (6223109).

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 1557504 = 2160^2 + 1248^2 .

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 (6223109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85212 + ... + 85284.

Almost surely, 26223104 is an apocalyptic number.

6223104 is a gapful number since it is divisible by the number (64) 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 6223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340058).

6223104 is an abundant number, since it is smaller than the sum of its proper divisors (12457012).

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

6223104 is a wasteful number, since it uses less digits than its factorization.

6223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6223104 is about 2494.6150003558. The cubic root of 6223104 is about 183.9369664365.

The spelling of 6223104 in words is "six million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 73 74 96 111 128 144 146 148 192 219 222 256 288 292 296 333 384 438 444 576 584 592 657 666 768 876 888 1152 1168 1184 1314 1332 1752 1776 2304 2336 2368 2628 2664 2701 3504 3552 4672 4736 5256 5328 5402 7008 7104 8103 9344 9472 10512 10656 10804 14016 14208 16206 18688 21024 21312 21608 24309 28032 28416 32412 42048 42624 43216 48618 56064 64824 84096 85248 86432 97236 129648 168192 172864 194472 259296 345728 388944 518592 691456 777888 1037184 1555776 2074368 3111552 6223104