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229495728 = 243711312003
BaseRepresentation
bin11011010110111…
…01001110110000
3120222211120221210
431223131032300
5432222330403
634434520120
75454452520
oct1553351660
9528746853
10229495728
111085a95a0
1264a36040
13387138b7
142269d680
1515233b03
hexdadd3b0

229495728 has 160 divisors (see below), whose sum is σ = 763379712. Its totient is φ = 57657600.

The previous prime is 229495723. The next prime is 229495729. The reversal of 229495728 is 827594922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (229495723) 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, 113575 + ... + 115577.

Almost surely, 2229495728 is an apocalyptic number.

229495728 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 229495728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381689856).

229495728 is an abundant number, since it is smaller than the sum of its proper divisors (533883984).

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

229495728 is a wasteful number, since it uses less digits than its factorization.

229495728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2057 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 229495728 is about 15149.1164098768. The cubic root of 229495728 is about 612.2444663903.

The spelling of 229495728 in words is "two hundred twenty-nine million, four hundred ninety-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 341 372 434 462 496 528 616 651 682 744 868 924 1023 1232 1302 1364 1488 1736 1848 2003 2046 2387 2604 2728 3472 3696 4006 4092 4774 5208 5456 6009 7161 8012 8184 9548 10416 12018 14021 14322 16024 16368 19096 22033 24036 28042 28644 32048 38192 42063 44066 48072 56084 57288 62093 66099 84126 88132 96144 112168 114576 124186 132198 154231 168252 176264 186279 224336 248372 264396 308462 336504 352528 372558 434651 462693 496744 528792 616924 673008 683023 745116 869302 925386 993488 1057584 1233848 1303953 1366046 1490232 1738604 1850772 2049069 2467696 2607906 2732092 2980464 3477208 3701544 4098138 4781161 5215812 5464184 6954416 7403088 8196276 9562322 10431624 10928368 14343483 16392552 19124644 20863248 28686966 32785104 38249288 57373932 76498576 114747864 229495728