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230515136280 = 23375111318427
BaseRepresentation
bin1101011010101111000…
…1011101011100011000
3211000222222220020000000
43112223301131130120
512234043333330110
6253521443213000
722440244220622
oct3265361353430
9730888806000
10230515136280
118984086a7a0
1238813077160
1318978338a30
14b22ab01c12
155ee24061c0
hex35abc5d718

230515136280 has 512 divisors, whose sum is σ = 913910860800. Its totient is φ = 51581007360.

The previous prime is 230515136239. The next prime is 230515136311. The reversal of 230515136280 is 82631515032.

230515136280 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 1 + 513 + 62 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12500427 + ... + 12518853.

It is an arithmetic number, because the mean of its divisors is an integer number (1784982150).

Almost surely, 2230515136280 is an apocalyptic number.

230515136280 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 230515136280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456955430400).

230515136280 is an abundant number, since it is smaller than the sum of its proper divisors (683395724520).

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

230515136280 is a wasteful number, since it uses less digits than its factorization.

230515136280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483 (or 18461 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 230515136280 in words is "two hundred thirty billion, five hundred fifteen million, one hundred thirty-six thousand, two hundred eighty".