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228285432372480 = 28357172917226697
BaseRepresentation
bin110011111001111111011000…
…000110101001110100000000
31002221021212121021211211200120
4303321333120012221310000
5214410212031141404410
62125304514014020240
766041035553443140
oct6371773006516400
91087255537754616
10228285432372480
116681434320472a
122172b2b54a7680
139a4c2babb3a12
144053106a2c920
151b5d364690570
hexcf9fd81a9d00

228285432372480 has 576 divisors, whose sum is σ = 912678728855040. Its totient is φ = 47416687460352.

The previous prime is 228285432372443. The next prime is 228285432372511. The reversal of 228285432372480 is 84273234582822.

228285432372480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2282854323724803 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4638492 + ... + 21865188.

It is an arithmetic number, because the mean of its divisors is an integer number (1584511682040).

Almost surely, 2228285432372480 is an apocalyptic number.

228285432372480 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 228285432372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456339364427520).

228285432372480 is an abundant number, since it is smaller than the sum of its proper divisors (684393296482560).

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

228285432372480 is a wasteful number, since it uses less digits than its factorization.

228285432372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17226774 (or 17226760 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 60.

The spelling of 228285432372480 in words is "two hundred twenty-eight trillion, two hundred eighty-five billion, four hundred thirty-two million, three hundred seventy-two thousand, four hundred eighty".