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4660800228 = 22327210392543
BaseRepresentation
bin1000101011100111…
…00010101011100100
3110000211010011221200
410111303202223210
534021131101403
62050253042500
7223333101600
oct42563425344
913024104850
104660800228
111a8199a217
12aa0a86430
135937b7576
14323006500
151c42a2ca3
hex115ce2ae4

4660800228 has 108 divisors (see below), whose sum is σ = 13723557120. Its totient is φ = 1329852384.

The previous prime is 4660800217. The next prime is 4660800233. The reversal of 4660800228 is 8220080664.

4660800228 is a `hidden beast` number, since 46 + 608 + 0 + 0 + 2 + 2 + 8 = 666.

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 = 4660800192 and 4660800201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1831525 + ... + 1834067.

Almost surely, 24660800228 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 4660800228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861778560).

4660800228 is an abundant number, since it is smaller than the sum of its proper divisors (9062756892).

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

4660800228 is a wasteful number, since it uses less digits than its factorization.

4660800228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4660800228 is about 68270.0536692333. The cubic root of 4660800228 is about 1670.3987750533.

The spelling of 4660800228 in words is "four billion, six hundred sixty million, eight hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1039 1764 2078 2543 3117 4156 5086 6234 7273 7629 9351 10172 12468 14546 15258 17801 18702 21819 22887 29092 30516 35602 37404 43638 45774 50911 53403 65457 71204 87276 91548 101822 106806 124607 130914 152733 160209 203644 213612 249214 261828 305466 320418 373821 458199 498428 610932 640836 747642 916398 1121463 1495284 1832796 2242926 2642177 4485852 5284354 7926531 10568708 15853062 18495239 23779593 31706124 36990478 47559186 55485717 73980956 95118372 110971434 129466673 166457151 221942868 258933346 332914302 388400019 517866692 665828604 776800038 1165200057 1553600076 2330400114 4660800228