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6224004 = 2232832083
BaseRepresentation
bin10111101111100010000100
3102201012201200
4113233202010
53043132004
6341222500
7103621533
oct27574204
912635650
106224004
113571206
122101a30
13139bc57
14b8031a
1582e239
hex5ef884

6224004 has 36 divisors (see below), whose sum is σ = 15930096. Its totient is φ = 2048688.

The previous prime is 6223999. The next prime is 6224011. The reversal of 6224004 is 4004226.

6224004 is a `hidden beast` number, since 622 + 40 + 0 + 4 = 666.

6224004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947 + ... + 4029.

Almost surely, 26224004 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 6224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965048).

6224004 is an abundant number, since it is smaller than the sum of its proper divisors (9706092).

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

6224004 is a wasteful number, since it uses less digits than its factorization.

6224004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6224004 is about 2494.7953823911. The cubic root of 6224004 is about 183.9458331420.

The spelling of 6224004 in words is "six million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2083 2988 4166 6249 8332 12498 18747 24996 37494 74988 172889 345778 518667 691556 1037334 1556001 2074668 3112002 6224004