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228617640466304 = 2715785313336783
BaseRepresentation
bin110011111110110100110001…
…001111111101011110000000
31002222110122002102222120002112
4303332310301033331132000
5214431132411424410204
62130121254422234452
766104036152603625
oct6376646117753600
91088418072876075
10228617640466304
1166932218aa2591
1221783769285a28
139a747216b10bb
14406521d56234c
151b66d0974326e
hexcfed313fd780

228617640466304 has 64 divisors (see below), whose sum is σ = 458887529365440. Its totient is φ = 113447575627776.

The previous prime is 228617640466249. The next prime is 228617640466331. The reversal of 228617640466304 is 403664046716822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10473497 + ... + 23810279.

It is an arithmetic number, because the mean of its divisors is an integer number (7170117646335).

Almost surely, 2228617640466304 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 228617640466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229443764682720).

228617640466304 is an abundant number, since it is smaller than the sum of its proper divisors (230269888899136).

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

228617640466304 is a wasteful number, since it uses less digits than its factorization.

228617640466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13337807 (or 13337795 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 59.

The spelling of 228617640466304 in words is "two hundred twenty-eight trillion, six hundred seventeen billion, six hundred forty million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 853 1256 1706 2512 3412 5024 6824 10048 13648 20096 27296 54592 109184 133921 267842 535684 1071368 2142736 4285472 8570944 13336783 17141888 26673566 53347132 106694264 213388528 426777056 853554112 1707108224 2093874931 4187749862 8375499724 11376275899 16750999448 22752551798 33501998896 45505103596 67003997792 91010207192 134007995584 182020414384 268015991168 364040828768 728081657536 1456163315072 1786075316143 3572150632286 7144301264572 14288602529144 28577205058288 57154410116576 114308820233152 228617640466304