Search a number
-
+
6105222 = 2323789103
BaseRepresentation
bin10111010010100010000110
3102111011210100
4113102202012
53030331342
6334504530
7102615324
oct27224206
912434710
106105222
11349aa42
122065146
131359b76
14b4cd14
15808e4c
hex5d2886

6105222 has 48 divisors (see below), whose sum is σ = 13871520. Its totient is φ = 1938816.

The previous prime is 6105217. The next prime is 6105223. The reversal of 6105222 is 2225016.

6105222 is a `hidden beast` number, since 610 + 52 + 2 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6105195 and 6105204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59223 + ... + 59325.

It is an arithmetic number, because the mean of its divisors is an integer number (288990).

Almost surely, 26105222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935760).

6105222 is an abundant number, since it is smaller than the sum of its proper divisors (7766298).

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

6105222 is a wasteful number, since it uses less digits than its factorization.

6105222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 6105222 is about 2470.8747438913. The cubic root of 6105222 is about 182.7681377783.

It can be divided in two parts, 610 and 5222, that added together give a cube (5832 = 183).

The spelling of 6105222 in words is "six million, one hundred five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 89 103 111 178 206 222 267 309 333 534 618 666 801 927 1602 1854 3293 3811 6586 7622 9167 9879 11433 18334 19758 22866 27501 29637 34299 55002 59274 68598 82503 165006 339179 678358 1017537 2035074 3052611 6105222