Search a number
-
+
6226632 = 23353203
BaseRepresentation
bin10111110000001011001000
3102201100100000
4113300023020
53043223012
6341243000
7103632306
oct27601310
912640300
106226632
113573185
122103460
1313a01c9
14b81276
1582eddc
hex5f02c8

6226632 has 48 divisors (see below), whose sum is σ = 17493840. Its totient is φ = 2074896.

The previous prime is 6226631. The next prime is 6226643. The reversal of 6226632 is 2366226.

It is a happy number.

6226632 is a `hidden beast` number, since 6 + 2 + 26 + 632 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6226596 and 6226605.

It is not an unprimeable number, because it can be changed into a prime (6226631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (364455).

Almost surely, 26226632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6226632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746920).

6226632 is an abundant number, since it is smaller than the sum of its proper divisors (11267208).

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

6226632 is a wasteful number, since it uses less digits than its factorization.

6226632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3208 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 6226632 is about 2495.3220233068. The cubic root of 6226632 is about 183.9717190309.

The spelling of 6226632 in words is "six million, two hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 3203 6406 9609 12812 19218 25624 28827 38436 57654 76872 86481 115308 172962 230616 259443 345924 518886 691848 778329 1037772 1556658 2075544 3113316 6226632