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228409644545280 = 28395111748481
BaseRepresentation
bin110011111011110011000011…
…101110011111010100000000
31002221201202012211222000000000
4303323303003232133110000
5214414230423000422110
62125441535300000000
766053023630465542
oct6373630356372400
91087652184860000
10228409644545280
1166861a9379a5a0
122174b39b990000
139a5ac24949613
14405912b559692
151b616d432c1c0
hexcfbcc3b9f500

228409644545280 has 1440 divisors, whose sum is σ = 947941693953408. Its totient is φ = 52113781555200.

The previous prime is 228409644545279. The next prime is 228409644545311. The reversal of 228409644545280 is 82545446904822.

228409644545280 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 0 + 9 + 6 + 4 + 4 + 545 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4711298640 + ... + 4711347120.

Almost surely, 2228409644545280 is an apocalyptic number.

228409644545280 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 228409644545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473970846976704).

228409644545280 is an abundant number, since it is smaller than the sum of its proper divisors (719532049408128).

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

228409644545280 is an frugal number, since it uses more digits than its factorization.

228409644545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48557 (or 48519 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 228409644545280 in words is "two hundred twenty-eight trillion, four hundred nine billion, six hundred forty-four million, five hundred forty-five thousand, two hundred eighty".