Search a number
-
+
6221628 = 2232723527
BaseRepresentation
bin10111101110111100111100
3102201002110200
4113232330330
53043043003
6341203500
7103611600
oct27567474
912632420
106221628
11356a446
122100590
13139ab4a
14b7d500
1582d6a3
hex5eef3c

6221628 has 54 divisors (see below), whose sum is σ = 18299736. Its totient is φ = 1777104.

The previous prime is 6221591. The next prime is 6221629. The reversal of 6221628 is 8261226.

6221628 is a `hidden beast` number, since 622 + 16 + 28 = 666.

6221628 is a nontrivial binomial coefficient, being equal to C(3528, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6221629) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1 + ... + 3527.

It is an arithmetic number, because the mean of its divisors is an integer number (338884).

Almost surely, 26221628 is an apocalyptic number.

6221628 is the 3527-th triangular number and also the 1764-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6221628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

6221628 is an abundant number, since it is smaller than the sum of its proper divisors (12078108).

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

6221628 is a wasteful number, since it uses less digits than its factorization.

6221628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3539 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 6221628 is about 2494.3191455786. The cubic root of 6221628 is about 183.9224231888.

It can be divided in two parts, 622162 and 8, that added together give a triangular number (622170 = T1115).

The spelling of 6221628 in words is "six million, two hundred twenty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3527 7054 10581 14108 21162 24689 31743 42324 49378 63486 74067 98756 126972 148134 172823 222201 296268 345646 444402 518469 691292 888804 1036938 1555407 2073876 3110814 6221628