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228483528 = 233713233449
BaseRepresentation
bin11011001111001…
…10000111001000
3120220221011110220
431213212013020
5431442433103
634401110040
75443035510
oct1547460710
9526834426
10228483528
11107a78069
1264628320
133844ac70
14224b8840
15150d3c53
hexd9e61c8

228483528 has 128 divisors (see below), whose sum is σ = 707616000. Its totient is φ = 59867136.

The previous prime is 228483527. The next prime is 228483571. The reversal of 228483528 is 825384822.

228483528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 228483528.

It is not an unprimeable number, because it can be changed into a prime (228483523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508648 + ... + 509096.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2228483528 is an apocalyptic number.

228483528 is a gapful number since it is divisible by the number (28) 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 228483528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

228483528 is an abundant number, since it is smaller than the sum of its proper divisors (479132472).

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

228483528 is a wasteful number, since it uses less digits than its factorization.

228483528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 228483528 is about 15115.6716026778. The cubic root of 228483528 is about 611.3430303241.

The spelling of 228483528 in words is "two hundred twenty-eight million, four hundred eighty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 233 273 312 364 449 466 546 699 728 898 932 1092 1347 1398 1631 1796 1864 2184 2694 2796 3029 3143 3262 3592 4893 5388 5592 5837 6058 6286 6524 9087 9429 9786 10776 11674 12116 12572 13048 17511 18174 18858 19572 21203 23348 24232 25144 35022 36348 37716 39144 40859 42406 46696 63609 70044 72696 75432 81718 84812 104617 122577 127218 140088 163436 169624 209234 245154 254436 313851 326872 418468 490308 508872 627702 732319 836936 980616 1255404 1360021 1464638 2196957 2510808 2720042 2929276 4080063 4393914 5440084 5858552 8160126 8787828 9520147 10880168 16320252 17575656 19040294 28560441 32640504 38080588 57120882 76161176 114241764 228483528