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22006728 = 233433961
BaseRepresentation
bin101001111110…
…0101111001000
31112102001120000
41103330233020
521113203403
62103403000
7355024362
oct123745710
945361500
1022006728
1111470a87
127453460
134736943
142ccbd32
151dea7a3
hex14fcbc8

22006728 has 40 divisors (see below), whose sum is σ = 61641030. Its totient is φ = 7335360.

The previous prime is 22006727. The next prime is 22006729. The reversal of 22006728 is 82760022.

It is an interprime number because it is at equal distance from previous prime (22006727) and next prime (22006729).

It can be written as a sum of positive squares in only one way, i.e., 21734244 + 272484 = 4662^2 + 522^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (22006723) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16333 + ... + 17628.

Almost surely, 222006728 is an apocalyptic number.

It is an amenable number.

22006728 is an abundant number, since it is smaller than the sum of its proper divisors (39634302).

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

22006728 is a wasteful number, since it uses less digits than its factorization.

22006728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33979 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22006728 is about 4691.1329122079. The cubic root of 22006728 is about 280.2324939734.

The spelling of 22006728 in words is "twenty-two million, six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 33961 67922 101883 135844 203766 271688 305649 407532 611298 815064 916947 1222596 1833894 2445192 2750841 3667788 5501682 7335576 11003364 22006728