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230448684480 = 26357281122039
BaseRepresentation
bin1101011010011111001…
…1111101110111000000
3211000211100212010021020
43112213303331313000
512233424330400410
6253511111025440
722435506332610
oct3264763756700
9730740763236
10230448684480
1189807302553
12387b496b280
1318967640241
14b221d64a40
155edb67ba70
hex35a7cfddc0

230448684480 has 224 divisors, whose sum is σ = 839182187520. Its totient is φ = 52486103040.

The previous prime is 230448684397. The next prime is 230448684493. The reversal of 230448684480 is 84486844032.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1827301 + ... + 1949339.

Almost surely, 2230448684480 is an apocalyptic number.

230448684480 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 230448684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419591093760).

230448684480 is an abundant number, since it is smaller than the sum of its proper divisors (608733503040).

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

230448684480 is a wasteful number, since it uses less digits than its factorization.

230448684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122347 (or 122337 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 51.

The spelling of 230448684480 in words is "two hundred thirty billion, four hundred forty-eight million, six hundred eighty-four thousand, four hundred eighty".