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230247671424 = 27317192412383
BaseRepresentation
bin1101011001101111010…
…1001010011010000000
3211000022100121121012020
43112123311022122000
512233021400441144
6253435130401440
722430515625661
oct3263365123200
9730270547166
10230247671424
1189713898461
1238759590280
1318934abcac4
14b20339b368
155ec8bc2419
hex359bd4a680

230247671424 has 384 divisors, whose sum is σ = 700411380480. Its totient is φ = 66735636480.

The previous prime is 230247671419. The next prime is 230247671447. The reversal of 230247671424 is 424176742032.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96619737 + ... + 96622119.

It is an arithmetic number, because the mean of its divisors is an integer number (1823987970).

Almost surely, 2230247671424 is an apocalyptic number.

230247671424 is a gapful number since it is divisible by the number (24) 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 230247671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350205690240).

230247671424 is an abundant number, since it is smaller than the sum of its proper divisors (470163709056).

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

230247671424 is a wasteful number, since it uses less digits than its factorization.

230247671424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 230247671424 in words is "two hundred thirty billion, two hundred forty-seven million, six hundred seventy-one thousand, four hundred twenty-four".