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5005224 = 233279931
BaseRepresentation
bin10011000101111110101000
3100102021212200
4103011332220
52240131344
6255140200
760354330
oct23057650
910367780
105005224
112909554
121814660
131063293
149440c0
1568d069
hex4c5fa8

5005224 has 48 divisors (see below), whose sum is σ = 15493920. Its totient is φ = 1429920.

The previous prime is 5005223. The next prime is 5005261. The reversal of 5005224 is 4225005.

5005224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×50052244 (a number of 28 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5005197 and 5005206.

It is not an unprimeable number, because it can be changed into a prime (5005223) 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, 4462 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (322790).

Almost surely, 25005224 is an apocalyptic number.

It is an amenable number.

5005224 is an abundant number, since it is smaller than the sum of its proper divisors (10488696).

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

5005224 is a wasteful number, since it uses less digits than its factorization.

5005224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5005224 is about 2237.2357944571. The cubic root of 5005224 is about 171.0571267018.

The spelling of 5005224 in words is "five million, five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 9931 19862 29793 39724 59586 69517 79448 89379 119172 139034 178758 208551 238344 278068 357516 417102 556136 625653 715032 834204 1251306 1668408 2502612 5005224