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228573334080 = 26335731317349
BaseRepresentation
bin1101010011100000001…
…0000100101001000000
3210211222200001110011000
43110320002010221000
512221104233142310
6253001035452000
722341155166000
oct3247002045100
9724880043130
10228573334080
1188a34762a93
12383708b7000
1318728c5a250
14b0c4c76000
155e2bbdc4c0
hex3538084a40

228573334080 has 1792 divisors, whose sum is σ = 1075334400000. Its totient is φ = 45259554816.

The previous prime is 228573334061. The next prime is 228573334091. The reversal of 228573334080 is 80433375822.

228573334080 is a `hidden beast` number, since 2 + 2 + 8 + 573 + 33 + 40 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 654937746 + ... + 654938094.

It is an arithmetic number, because the mean of its divisors is an integer number (600075000).

Almost surely, 2228573334080 is an apocalyptic number.

228573334080 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 228573334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537667200000).

228573334080 is an abundant number, since it is smaller than the sum of its proper divisors (846761065920).

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

228573334080 is a wasteful number, since it uses less digits than its factorization.

228573334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 228573334080 in words is "two hundred twenty-eight billion, five hundred seventy-three million, three hundred thirty-four thousand, eighty".