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230857145280 = 2633541651697
BaseRepresentation
bin1101011100000000101…
…0000111101111000000
3211001212211110002011000
43113000022013233000
512240243412122110
6254015421452000
722451566233456
oct3270012075700
9731784402130
10230857145280
11899a6927163
12388a9711000
1318a01154918
14b2602cc9d6
1560124621c0
hex35c0287bc0

230857145280 has 224 divisors, whose sum is σ = 834277711680. Its totient is φ = 60060303360.

The previous prime is 230857145279. The next prime is 230857145291. The reversal of 230857145280 is 82541758032.

230857145280 is a `hidden beast` number, since 2 + 30 + 8 + 571 + 45 + 2 + 8 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28392 + ... + 680088.

It is an arithmetic number, because the mean of its divisors is an integer number (3724454070).

Almost surely, 2230857145280 is an apocalyptic number.

230857145280 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 230857145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417138855840).

230857145280 is an abundant number, since it is smaller than the sum of its proper divisors (603420566400).

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

230857145280 is a wasteful number, since it uses less digits than its factorization.

230857145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651764 (or 651748 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 230857145280 in words is "two hundred thirty billion, eight hundred fifty-seven million, one hundred forty-five thousand, two hundred eighty".