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38224284 = 22371134027
BaseRepresentation
bin1001000111010…
…0000110011100
32122220222212020
42101310012130
534241134114
63443140140
7642621030
oct221640634
978828766
1038224284
111a63851a
1210974650
137bc4527
1451101c0
153550aa9
hex247419c

38224284 has 48 divisors (see below), whose sum is σ = 102859008. Its totient is φ = 10821888.

The previous prime is 38224283. The next prime is 38224297. The reversal of 38224284 is 48242283.

It is a super-2 number, since 2×382242842 = 2922191774625312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38224283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7479 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (2142896).

Almost surely, 238224284 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 38224284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51429504).

38224284 is an abundant number, since it is smaller than the sum of its proper divisors (64634724).

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

38224284 is a wasteful number, since it uses less digits than its factorization.

38224284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4152 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 38224284 is about 6182.5790734935. The cubic root of 38224284 is about 336.8576798394.

The spelling of 38224284 in words is "thirty-eight million, two hundred twenty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4027 4746 8054 9492 12081 16108 24162 28189 48324 56378 84567 112756 169134 338268 455051 910102 1365153 1820204 2730306 3185357 5460612 6370714 9556071 12741428 19112142 38224284