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38020224 = 273119001
BaseRepresentation
bin1001000100001…
…0010010000000
32122112121221110
42101002102000
534213121344
63434523320
7641111064
oct221022200
978477843
1038020224
111a509180
1210896540
137b52698
145099aa4
1535103b9
hex2442480

38020224 has 64 divisors (see below), whose sum is σ = 110184480. Its totient is φ = 11520000.

The previous prime is 38020223. The next prime is 38020267. The reversal of 38020224 is 42202083.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 38020224.

It is not an unprimeable number, because it can be changed into a prime (38020223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 8724.

Almost surely, 238020224 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 38020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55092240).

38020224 is an abundant number, since it is smaller than the sum of its proper divisors (72164256).

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

38020224 is a wasteful number, since it uses less digits than its factorization.

38020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 38020224 is about 6166.0541677802. The cubic root of 38020224 is about 336.2571727256.

The spelling of 38020224 in words is "thirty-eight million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 9001 18002 27003 36004 54006 72008 99011 108012 144016 198022 216024 288032 297033 396044 432048 576064 594066 792088 864096 1152128 1188132 1584176 1728192 2376264 3168352 3456384 4752528 6336704 9505056 12673408 19010112 38020224