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38189220 = 2235738719
BaseRepresentation
bin1001000110101…
…1100010100100
32122212012202120
42101223202210
534234023340
63442305540
7642413556
oct221534244
978765676
1038189220
111a614143
12109582b0
137bb1594
1451014d6
1535454d0
hex246b8a4

38189220 has 48 divisors (see below), whose sum is σ = 108407040. Its totient is φ = 10043136.

The previous prime is 38189209. The next prime is 38189227. The reversal of 38189220 is 2298183.

38189220 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (38189227) 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, 21 + ... + 8739.

It is an arithmetic number, because the mean of its divisors is an integer number (2258480).

Almost surely, 238189220 is an apocalyptic number.

38189220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38189220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54203520).

38189220 is an abundant number, since it is smaller than the sum of its proper divisors (70217820).

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

38189220 is a wasteful number, since it uses less digits than its factorization.

38189220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 38189220 is about 6179.7427130909. The cubic root of 38189220 is about 336.7546459391.

The spelling of 38189220 in words is "thirty-eight million, one hundred eighty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 8719 17438 26157 34876 43595 52314 87190 104628 130785 174380 261570 523140 636487 1272974 1909461 2545948 3182435 3818922 6364870 7637844 9547305 12729740 19094610 38189220