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228811392 = 273429761
BaseRepresentation
bin11011010001101…
…10001010000000
3120221112211020000
431220312022000
5432033431032
634412120000
75445602415
oct1550661200
9527484200
10228811392
11108181427
1264766000
1338534274
142256210c
151514ae7c
hexda36280

228811392 has 160 divisors (see below), whose sum is σ = 705345300. Its totient is φ = 73543680.

The previous prime is 228811391. The next prime is 228811393. The reversal of 228811392 is 293118822.

228811392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228811391) and next prime (228811393).

It can be written as a sum of positive squares in 2 ways, for example, as 201185856 + 27625536 = 14184^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228811391) 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 19 ways as a sum of consecutive naturals, for example, 300292 + ... + 301052.

Almost surely, 2228811392 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 228811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352672650).

228811392 is an abundant number, since it is smaller than the sum of its proper divisors (476533908).

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

228811392 is an equidigital number, since it uses as much as digits as its factorization.

228811392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 795 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 228811392 is about 15126.5128830144. The cubic root of 228811392 is about 611.6353075201.

The spelling of 228811392 in words is "two hundred twenty-eight million, eight hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 384 432 464 522 576 648 696 761 783 864 928 1044 1152 1296 1392 1522 1566 1728 1856 2088 2283 2349 2592 2784 3044 3132 3456 3712 4176 4566 4698 5184 5568 6088 6264 6849 8352 9132 9396 10368 11136 12176 12528 13698 16704 18264 18792 20547 22069 24352 25056 27396 33408 36528 37584 41094 44138 48704 50112 54792 61641 66207 73056 75168 82188 88276 97408 100224 109584 123282 132414 146112 150336 164376 176552 198621 219168 246564 264828 292224 300672 328752 353104 397242 438336 493128 529656 595863 657504 706208 794484 876672 986256 1059312 1191726 1315008 1412416 1588968 1787589 1972512 2118624 2383452 2630016 2824832 3177936 3575178 3945024 4237248 4766904 6355872 7150356 7890048 8474496 9533808 12711744 14300712 19067616 25423488 28601424 38135232 57202848 76270464 114405696 228811392