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38223328 = 2511138353
BaseRepresentation
bin1001000111001…
…1110111100000
32122220221112211
42101303313200
534241121303
63443131504
7642615163
oct221636740
978827484
1038223328
111a637830
1210973b94
137bc3c70
14510dada
15355066d
hex2473de0

38223328 has 48 divisors (see below), whose sum is σ = 88418736. Its totient is φ = 16035840.

The previous prime is 38223277. The next prime is 38223329. The reversal of 38223328 is 82332283.

It is a happy number.

38223328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×382233282 = 2922045606791168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38223328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38223329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 8752.

It is an arithmetic number, because the mean of its divisors is an integer number (1842057).

Almost surely, 238223328 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 38223328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44209368).

38223328 is an abundant number, since it is smaller than the sum of its proper divisors (50195408).

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

38223328 is a wasteful number, since it uses less digits than its factorization.

38223328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8379 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 38223328 is about 6182.5017589969. The cubic root of 38223328 is about 336.8548715145.

The spelling of 38223328 in words is "thirty-eight million, two hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 8353 16706 33412 66824 91883 108589 133648 183766 217178 267296 367532 434356 735064 868712 1194479 1470128 1737424 2388958 2940256 3474848 4777916 9555832 19111664 38223328