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228605921280 = 21132511225503
BaseRepresentation
bin1101010011100111111…
…0011000100000000000
3210212001221101001101100
43110321332120200000
512221141103440110
6253004202134400
722342032161262
oct3247176304000
9725057331340
10228605921280
1188a510a0260
123837b7b1400
1318732929a09
14b0c9319b32
155e2e9c7bc0
hex3539f98800

228605921280 has 288 divisors, whose sum is σ = 864338791680. Its totient is φ = 55419371520.

The previous prime is 228605921251. The next prime is 228605921303. The reversal of 228605921280 is 82129506822.

228605921280 is a `hidden beast` number, since 2 + 28 + 605 + 9 + 2 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 901009 + ... + 1126511.

It is an arithmetic number, because the mean of its divisors is an integer number (3001176360).

Almost surely, 2228605921280 is an apocalyptic number.

228605921280 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 228605921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432169395840).

228605921280 is an abundant number, since it is smaller than the sum of its proper divisors (635732870400).

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

228605921280 is a wasteful number, since it uses less digits than its factorization.

228605921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225547 (or 225524 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 228605921280 in words is "two hundred twenty-eight billion, six hundred five million, nine hundred twenty-one thousand, two hundred eighty".