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228150384 = 24371161729
BaseRepresentation
bin11011001100101…
…00110001110000
3120220022020111020
431212110301300
5431401303014
634350015440
75440150320
oct1546246160
9526266436
10228150384
1110786a840
12644a7580
1338362437
142242d280
151506a1a9
hexd994c70

228150384 has 80 divisors (see below), whose sum is σ = 734833920. Its totient is φ = 59258880.

The previous prime is 228150383. The next prime is 228150397. The reversal of 228150384 is 483051822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228150383) 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 15 ways as a sum of consecutive naturals, for example, 27169 + ... + 34560.

It is an arithmetic number, because the mean of its divisors is an integer number (9185424).

Almost surely, 2228150384 is an apocalyptic number.

228150384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228150384 is an abundant number, since it is smaller than the sum of its proper divisors (506683536).

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

228150384 is a wasteful number, since it uses less digits than its factorization.

228150384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61758 (or 61752 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 228150384 is about 15104.6477615335. The cubic root of 228150384 is about 611.0457596918.

It can be divided in two parts, 228150 and 384, that multiplied together give a square (87609600 = 93602).

The spelling of 228150384 in words is "two hundred twenty-eight million, one hundred fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 61729 123458 185187 246916 370374 432103 493832 679019 740748 864206 987664 1296309 1358038 1481496 1728412 2037057 2592618 2716076 2962992 3456824 4074114 4753133 5185236 5432152 6913648 8148228 9506266 10370472 10864304 14259399 16296456 19012532 20740944 28518798 32592912 38025064 57037596 76050128 114075192 228150384