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230581345260 = 223573531791181
BaseRepresentation
bin1101011010111110111…
…0000001101111101100
3211001011121110222122110
43112233232001233230
512234212311022020
6253532210244020
722442010045000
oct3265756015754
9731147428573
10230581345260
1189875181562
1238831286610
1318988c7ab46
14b235818700
155ee81338e0
hex35afb81bec

230581345260 has 384 divisors, whose sum is σ = 772063488000. Its totient is φ = 51377464320.

The previous prime is 230581345237. The next prime is 230581345277. The reversal of 230581345260 is 62543185032.

It is a happy number.

It is a super-2 number, since 2×2305813452602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195241870 + ... + 195243050.

It is an arithmetic number, because the mean of its divisors is an integer number (2010582000).

Almost surely, 2230581345260 is an apocalyptic number.

230581345260 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 230581345260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386031744000).

230581345260 is an abundant number, since it is smaller than the sum of its proper divisors (541482142740).

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

230581345260 is a wasteful number, since it uses less digits than its factorization.

230581345260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 230581345260 in words is "two hundred thirty billion, five hundred eighty-one million, three hundred forty-five thousand, two hundred sixty".