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228524544 = 293361271
BaseRepresentation
bin11011001111100…
…00001000000000
3120221000020202000
431213300020000
5432000241134
634402024000
75443266213
oct1547601000
9527006660
10228524544
11107aa5966
1264648000
1338463831
14224c977a
15150e0e99
hexd9f0200

228524544 has 160 divisors (see below), whose sum is σ = 690074880. Its totient is φ = 74649600.

The previous prime is 228524539. The next prime is 228524551. The reversal of 228524544 is 445425822.

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

It is a junction number, because it is equal to n+sod(n) for n = 228524499 and 228524508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843129 + ... + 843399.

It is an arithmetic number, because the mean of its divisors is an integer number (4312968).

Almost surely, 2228524544 is an apocalyptic number.

228524544 is a gapful number since it is divisible by the number (24) 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 228524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345037440).

228524544 is an abundant number, since it is smaller than the sum of its proper divisors (461550336).

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

228524544 is an equidigital number, since it uses as much as digits as its factorization.

228524544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 337 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 228524544 is about 15117.0282793941. The cubic root of 228524544 is about 611.3796096867.

The spelling of 228524544 in words is "two hundred twenty-eight million, five hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 271 288 366 384 432 488 512 542 549 576 732 768 813 864 976 1084 1098 1152 1464 1536 1626 1647 1728 1952 2168 2196 2304 2439 2928 3252 3294 3456 3904 4336 4392 4608 4878 5856 6504 6588 6912 7317 7808 8672 8784 9756 11712 13008 13176 13824 14634 15616 16531 17344 17568 19512 23424 26016 26352 29268 31232 33062 34688 35136 39024 46848 49593 52032 52704 58536 66124 69376 70272 78048 93696 99186 104064 105408 117072 132248 138752 140544 148779 156096 198372 208128 210816 234144 264496 281088 297558 312192 396744 416256 421632 446337 468288 528992 595116 624384 793488 843264 892674 936576 1057984 1190232 1248768 1586976 1785348 1873152 2115968 2380464 3173952 3570696 3746304 4231936 4760928 6347904 7141392 8463872 9521856 12695808 14282784 19043712 25391616 28565568 38087424 57131136 76174848 114262272 228524544