Search a number
-
+
6222996 = 22321313297
BaseRepresentation
bin10111101111010010010100
3102201011100100
4113233102110
53043113441
6341214100
7103615563
oct27572224
912634310
106222996
11357047a
122101330
13139b660
14b7dbda
1582dcb6
hex5ef494

6222996 has 36 divisors (see below), whose sum is σ = 16941652. Its totient is φ = 1914624.

The previous prime is 6222991. The next prime is 6223001. The reversal of 6222996 is 6992226.

6222996 = T463 + T464 + ... + T514.

6222996 is a `hidden beast` number, since 622 + 29 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6222991) and next prime (6223001).

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 5904900 = 564^2 + 2430^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6222996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6222991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6181 + ... + 7116.

Almost surely, 26222996 is an apocalyptic number.

It is an amenable number.

6222996 is an abundant number, since it is smaller than the sum of its proper divisors (10718656).

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

6222996 is a wasteful number, since it uses less digits than its factorization.

6222996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13320 (or 13315 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 6222996 is about 2494.5933536350. The cubic root of 6222996 is about 183.9359023745.

The spelling of 6222996 in words is "six million, two hundred twenty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 13297 26594 39891 53188 79782 119673 159564 172861 239346 345722 478692 518583 691444 1037166 1555749 2074332 3111498 6222996