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228758480000 = 2754192892
BaseRepresentation
bin1101010100001100010…
…0010110010010000000
3210212110120102211121022
43111003010112102000
512221444132330000
6253031252045012
722345563666011
oct3250304262200
9725416384538
10228758480000
118901a21a946
1238402903768
131875841344b
14b1016ad008
155e3d0b0585
hex3543116480

228758480000 has 360 divisors, whose sum is σ = 607859098605. Its totient is φ = 85713408000.

The previous prime is 228758479979. The next prime is 228758480023. The reversal of 228758480000 is 84857822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 76277601856 + 152480878144 = 276184^2 + 390488^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2570319956 + ... + 2570320044.

Almost surely, 2228758480000 is an apocalyptic number.

228758480000 is a gapful number since it is divisible by the number (20) 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 228758480000

228758480000 is an abundant number, since it is smaller than the sum of its proper divisors (379100618605).

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

228758480000 is an frugal number, since it uses more digits than its factorization.

228758480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 228758480000 in words is "two hundred twenty-eight billion, seven hundred fifty-eight million, four hundred eighty thousand".