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6226830 = 2325431609
BaseRepresentation
bin10111110000001110001110
3102201100121100
4113300032032
53043224310
6341243530
7103633011
oct27601616
912640540
106226830
113573345
1221035a6
1313a031c
14b81378
1582eec0
hex5f038e

6226830 has 48 divisors (see below), whose sum is σ = 16576560. Its totient is φ = 1620864.

The previous prime is 6226817. The next prime is 6226861. The reversal of 6226830 is 386226.

6226830 is a `hidden beast` number, since 622 + 6 + 8 + 30 = 666.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6226794 and 6226803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3066 + ... + 4674.

It is an arithmetic number, because the mean of its divisors is an integer number (345345).

Almost surely, 26226830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6226830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288280).

6226830 is an abundant number, since it is smaller than the sum of its proper divisors (10349730).

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

6226830 is a wasteful number, since it uses less digits than its factorization.

6226830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6226830 is about 2495.3616972295. The cubic root of 6226830 is about 183.9736690425.

It can be divided in two parts, 6226 and 830, that added together give a square (7056 = 842).

The spelling of 6226830 in words is "six million, two hundred twenty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1609 1935 3218 3870 4827 8045 9654 14481 16090 24135 28962 48270 69187 72405 138374 144810 207561 345935 415122 622683 691870 1037805 1245366 2075610 3113415 6226830