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228560880240 = 243257211588953
BaseRepresentation
bin1101010011011101001…
…0100100001001110000
3210211221210121201200200
43110313102210021300
512221043041131430
6252555512515200
722340644266300
oct3246722441160
9724853551620
10228560880240
1188a28727260
12383686abb00
13187264b9804
14b0c3353600
155e2aa7c460
hex35374a4270

228560880240 has 360 divisors, whose sum is σ = 974078088048. Its totient is φ = 47493089280.

The previous prime is 228560880137. The next prime is 228560880269. The reversal of 228560880240 is 42088065822.

228560880240 is a `hidden beast` number, since 2 + 2 + 8 + 560 + 8 + 80 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93604 + ... + 682556.

Almost surely, 2228560880240 is an apocalyptic number.

228560880240 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 228560880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487039044024).

228560880240 is an abundant number, since it is smaller than the sum of its proper divisors (745517207808).

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

228560880240 is a wasteful number, since it uses less digits than its factorization.

228560880240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588997 (or 588981 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 228560880240 in words is "two hundred twenty-eight billion, five hundred sixty million, eight hundred eighty thousand, two hundred forty".